Magnetic Effect of Current · Physics · JEE Main

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Numerical

JEE Main 2024 (Online) 1st February Evening Shift
A moving coil galvanometer has 100 turns and each turn has an area of $2.0 \mathrm{~cm}^2$. The magnetic field produced by the magnet is $0.01 \mathrm...
JEE Main 2024 (Online) 1st February Morning Shift
A regular polygon of 6 sides is formed by bending a wire of length $4 \pi$ meter. If an electric current of $4 \pi \sqrt{3}$ A is flowing through the ...
JEE Main 2024 (Online) 31st January Evening Shift
Two circular coils $$P$$ and $$Q$$ of 100 turns each have same radius of $$\pi \mathrm{~cm}$$. The currents in $$P$$ and $$R$$ are $$1 A$$ and $$2 A$$...
JEE Main 2024 (Online) 31st January Morning Shift
An electron moves through a uniform magnetic field $$\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T$$. At a particular instant of time, the velocity of electron ...
JEE Main 2024 (Online) 30th January Evening Shift
The current of $$5 \mathrm{~A}$$ flows in a square loop of sides $$1 \mathrm{~m}$$ is placed in air. The magnetic field at the centre of the loop is $...
JEE Main 2024 (Online) 29th January Evening Shift
A charge of $$4.0 \mu \mathrm{C}$$ is moving with a velocity of $$4.0 \times 10^6 \mathrm{~ms}^{-1}$$ along the positive $$y$$ axis under a magnetic f...
JEE Main 2024 (Online) 27th January Evening Shift
The magnetic field at the centre of a wire loop formed by two semicircular wires of radii $$R_1=2 \pi \mathrm{m}$$ and $$R_2=4 \pi \mathrm{m}$$, carry...
JEE Main 2024 (Online) 27th January Morning Shift
Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is $$5.0 \mathrm{~cm}$$. The...
JEE Main 2023 (Online) 15th April Morning Shift
An electron in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 10^6 \mathrm{~ms}^{-1}$ in an orbit of radius $0.52 \mathrm{~A...
JEE Main 2023 (Online) 13th April Evening Shift
A straight wire $$\mathrm{AB}$$ of mass $$40 \mathrm{~g}$$ and length $$50 \mathrm{~cm}$$ is suspended by a pair of flexible leads in uniform magnetic...
JEE Main 2023 (Online) 10th April Evening Shift
A straight wire carrying a current of $$14 \mathrm{~A}$$ is bent into a semi-circular arc of radius $$2.2 \mathrm{~cm}$$ as shown in the figure. The m...
JEE Main 2023 (Online) 8th April Evening Shift
The ratio of magnetic field at the centre of a current carrying coil of radius $$r$$ to the magnetic field at distance $$r$$ from the centre of coil o...
JEE Main 2023 (Online) 6th April Evening Shift
A proton with a kinetic energy of $$2.0 ~\mathrm{eV}$$ moves into a region of uniform magnetic field of magnitude $$\frac{\pi}{2} \times 10^{-3} \math...
JEE Main 2023 (Online) 6th April Morning Shift
Two identical circular wires of radius $$20 \mathrm{~cm}$$ and carrying current $$\sqrt{2} \mathrm{~A}$$ are placed in perpendicular planes as shown i...
JEE Main 2023 (Online) 1st February Morning Shift
A charge particle of $$2 ~\mu \mathrm{C}$$ accelerated by a potential difference of $$100 \mathrm{~V}$$ enters a region of uniform magnetic field of m...
JEE Main 2023 (Online) 25th January Evening Shift
Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidist...
JEE Main 2023 (Online) 24th January Evening Shift
A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of 2 A. The loop is in a uniform...
JEE Main 2022 (Online) 29th July Morning Shift
A closely wounded circular coil of radius 5 cm produces a magnetic field of $$37.68 \times 10^{-4} \mathrm{~T}$$ at its center. The current through th...
JEE Main 2022 (Online) 29th July Morning Shift
A wire of length $$314 \mathrm{~cm}$$ carrying current of $$14 \mathrm{~A}$$ is bent to form a circle. The magnetic moment of the coil is ________ A $...
JEE Main 2022 (Online) 28th June Morning Shift
A singly ionized magnesium atom (A = 24) ion is accelerated to kinetic energy 5 keV, and is projected perpendicularly into a magnetic field B of the m...
JEE Main 2022 (Online) 27th June Evening Shift
A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii o...
JEE Main 2022 (Online) 26th June Evening Shift
Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10$$-$$5 N, then se...
JEE Main 2021 (Online) 31st August Evening Shift
A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 103 cm3. If the core material is replaced by another m...
JEE Main 2021 (Online) 27th August Morning Shift
A uniform conducting wire of length is 24a, and resistance R is wound up as a current carrying coil in the shape of an equilateral triangle of side 'a...
JEE Main 2021 (Online) 26th August Evening Shift
A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical plane between the pole pieces of permanent magnet producing a horizont...
JEE Main 2021 (Online) 26th August Morning Shift
Two short magnetic dipoles m1 and m2 each having magnetic moment of 1 Am2 are placed at point O and P respectively. The distance between OP is 1 meter...
JEE Main 2020 (Online) 3rd September Evening Slot
A galvanometer coil has 500 turns and each turn has an average area of 3 $$ \times $$ 10–4 m2 . If a torque of 1.5 Nm is required to keep this coil pa...

MCQ (Single Correct Answer)

JEE Main 2024 (Online) 31st January Evening Shift
A uniform magnetic field of $$2 \times 10^{-3} \mathrm{~T}$$ acts along positive $$Y$$-direction. A rectangular loop of sides $$20 \mathrm{~cm}$$ and ...
JEE Main 2024 (Online) 31st January Morning Shift
A rigid wire consists of a semicircular portion of radius $$R$$ and two straight sections. The wire is partially immerged in a perpendicular magnetic ...
JEE Main 2024 (Online) 30th January Morning Shift
Two insulated circular loop A and B of radius '$$a$$' carrying a current of '$$\mathrm{I}$$' in the anti clockwise direction as shown in the figure. T...
JEE Main 2024 (Online) 29th January Evening Shift
Two particles $$X$$ and $$Y$$ having equal charges are being accelerated through the sat potential difference. Thereafter they enter normally in a reg...
JEE Main 2024 (Online) 27th January Morning Shift
A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $$\overrightarrow{\mathrm{E}}$$ and $...
JEE Main 2023 (Online) 13th April Evening Shift
An electron is moving along the positive $$\mathrm{x}$$-axis. If the uniform magnetic field is applied parallel to the negative z-axis, then A. The el...
JEE Main 2023 (Online) 13th April Morning Shift
The source of time varying magnetic field may be (A) a permanent magnet (B) an electric field changing linearly with time (C) direct current (D) a dec...
JEE Main 2023 (Online) 11th April Evening Shift
An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid. A. The electron will experience magnetic f...
JEE Main 2023 (Online) 8th April Morning Shift
A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle wi...
JEE Main 2023 (Online) 6th April Morning Shift
A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-secti...
JEE Main 2023 (Online) 1st February Evening Shift
As shown in the figure, a long straight conductor with semicircular arc of radius $$\frac{\pi}{10}$$m is carrying current $$\mathrm{I=3A}$$. The magni...
JEE Main 2023 (Online) 1st February Morning Shift
Find the magnetic field at the point $$\mathrm{P}$$ in figure. The curved portion is a semicircle connected to two long straight wires. ...
JEE Main 2023 (Online) 31st January Evening Shift
A long conducting wire having a current I flowing through it, is bent into a circular coil of $\mathrm{N}$ turns. Then it is bent into a circular coil...
JEE Main 2023 (Online) 31st January Morning Shift
A rod with circular cross-section area $$2 \mathrm{~cm}^{2}$$ and length $$40 \mathrm{~cm}$$ is wound uniformly with 400 turns of an insulated wire. I...
JEE Main 2023 (Online) 30th January Evening Shift
As shown in the figure, a current of $2 \mathrm{~A}$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the c...
JEE Main 2023 (Online) 30th January Evening Shift
A current carrying rectangular loop PQRS is made of uniform wire. The length $P R=Q S=5 \mathrm{~cm}$ and $P Q=R S=100 \mathrm{~cm}$. If ammeter curre...
JEE Main 2023 (Online) 30th January Morning Shift
A massless square loop, of wire of resistance $$10 \Omega$$, supporting a mass of $$1 \mathrm{~g}$$, hangs vertically with one of its sides in a unifo...
JEE Main 2023 (Online) 30th January Morning Shift
The magnetic moments associated with two closely wound circular coils $$\mathrm{A}$$ and $$\mathrm{B}$$ of radius $$\mathrm{r}_{\mathrm{A}}=10$$ $$\ma...
JEE Main 2023 (Online) 29th January Evening Shift
The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circ...
JEE Main 2023 (Online) 29th January Morning Shift
The magnitude of magnetic induction at mid point $$\mathrm{O}$$ due to current arrangement as shown in Fig will be ...
JEE Main 2023 (Online) 29th January Morning Shift
A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve $$\mathrm{z}$$ direction and lying in $$x y...
JEE Main 2023 (Online) 25th January Evening Shift
For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If the torsional constant of susp...
JEE Main 2023 (Online) 25th January Morning Shift
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JEE Main 2023 (Online) 24th January Evening Shift
A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced inside the solenoid is ___________...
JEE Main 2023 (Online) 24th January Morning Shift
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experie...
JEE Main 2023 (Online) 24th January Morning Shift
A circular loop of radius $$r$$ is carrying current I A. The ratio of magnetic field at the center of circular loop and at a distance r from the cente...
JEE Main 2022 (Online) 29th July Evening Shift
A wire X of length $$50 \mathrm{~cm}$$ carrying a current of $$2 \mathrm{~A}$$ is placed parallel to a long wire $$\mathrm{Y}$$ of length $$5 \mathrm{...
JEE Main 2022 (Online) 28th July Evening Shift
A triangular shaped wire carrying $$10 \mathrm{~A}$$ current is placed in a uniform magnetic field of $$0.5 \mathrm{~T}$$, as shown in figure. The mag...
JEE Main 2022 (Online) 28th July Evening Shift
The magnetic field at the center of current carrying circular loop is $$B_{1}$$. The magnetic field at a distance of $$\sqrt{3}$$ times radius of the ...
JEE Main 2022 (Online) 28th July Morning Shift
The current sensitivity of a galvanometer can be increased by : (A) decreasing the number of turns (B) increasing the magnetic field (C) decreasing th...
JEE Main 2022 (Online) 28th July Morning Shift
As shown in the figure, a metallic rod of linear density $$0.45 \mathrm{~kg} \mathrm{~m}^{-1}$$ is lying horizontally on a smooth inclined plane which...
JEE Main 2022 (Online) 27th July Evening Shift
A cyclotron is used to accelerate protons. If the operating magnetic field is $$1.0 \mathrm{~T}$$ and the radius of the cyclotron 'dees' is $$60 \math...
JEE Main 2022 (Online) 26th July Evening Shift
Two concentric circular loops of radii $$r_{1}=30 \mathrm{~cm}$$ and $$r_{2}=50 \mathrm{~cm}$$ are placed in $$\mathrm{X}-\mathrm{Y}$$ plane as shown ...
JEE Main 2022 (Online) 26th July Morning Shift
A charge particle is moving in a uniform magnetic field $$(2 \hat{i}+3 \hat{j}) \,\mathrm{T}$$. If it has an acceleration of $$(\alpha \hat{i}-4 \hat{...
JEE Main 2022 (Online) 26th July Morning Shift
$$\mathrm{B}_{X}$$ and $$\mathrm{B}_{\mathrm{Y}}$$ are the magnetic fields at the centre of two coils $$\mathrm{X}$$ and $$\mathrm{Y}$$ respectively e...
JEE Main 2022 (Online) 25th July Morning Shift
Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If t...
JEE Main 2022 (Online) 30th June Morning Shift
A coil of n number of turns wound tightly in the form of a spiral with inner and outer radii r1 and r2 respectively. When a current of strength I is p...
JEE Main 2022 (Online) 30th June Morning Shift
A cyclotron is working at a frequency of 10 MHz. If the radius of its dees is 60 cm. The maximum kinetic energy of accelerated proton will be : (Take ...
JEE Main 2022 (Online) 29th June Evening Shift
Two long current carrying conductors are placed to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-poin...
JEE Main 2022 (Online) 29th June Evening Shift
Given below are two statements : Statement I : The electric force changes the speed of the charged particle and hence changes its kinetic energy; wher...
JEE Main 2022 (Online) 29th June Morning Shift
A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times...
JEE Main 2022 (Online) 28th June Evening Shift
Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of x A in the same direction. If the force of attraction per meter of ...
JEE Main 2022 (Online) 28th June Morning Shift
An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic...
JEE Main 2022 (Online) 27th June Evening Shift
Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4A and 2A respectively. The conductors are placed al...
JEE Main 2022 (Online) 26th June Morning Shift
A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ...
JEE Main 2022 (Online) 25th June Evening Shift
A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the...
JEE Main 2022 (Online) 25th June Morning Shift
A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this...
JEE Main 2022 (Online) 24th June Evening Shift
A proton, a deutron and an $$\alpha$$-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The rati...
JEE Main 2022 (Online) 24th June Morning Shift
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an uniform magnetic fiel...
JEE Main 2022 (Online) 24th June Morning Shift
The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the ax...
JEE Main 2021 (Online) 1st September Evening Shift
There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at t...
JEE Main 2021 (Online) 31st August Evening Shift
A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle is :(Assume that the current i...
JEE Main 2021 (Online) 31st August Morning Shift
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a' and 'b' respectively. Find the magnetic field at centre,...
JEE Main 2021 (Online) 27th August Evening Shift
A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c' respectively. The inner wire...
JEE Main 2021 (Online) 27th August Morning Shift
Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field...
JEE Main 2021 (Online) 26th August Morning Shift
The fractional change in the magnetic field intensity at a distance 'r' from centre on the axis of current carrying coil of radius 'a' to the magnetic...
JEE Main 2021 (Online) 27th July Evening Shift
Figure A and B shown to long straight wires of circular cross-section (a and b with a < b), carrying current I which is uniformly distributed acros...
JEE Main 2021 (Online) 25th July Evening Shift
Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : ...
JEE Main 2021 (Online) 20th July Morning Shift
A deuteron and an alpha particle having equal kinetic energy enter perpendicularly into a magnetic field. Let rd and r$$\alpha$$ be their respective r...
JEE Main 2021 (Online) 18th March Evening Shift
A proton and an $$\alpha$$-particle, having kinetic energies Kp and K$$\alpha$$ respectively, enter into a magnetic field at right angles.The ratio of...
JEE Main 2021 (Online) 18th March Morning Shift
Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3T, the fi...
JEE Main 2021 (Online) 18th March Morning Shift
A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect of the field on the wire.
JEE Main 2021 (Online) 17th March Evening Shift
A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magnetic field at point P which li...
JEE Main 2021 (Online) 17th March Morning Shift
A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry an electric current of 5A. The ...
JEE Main 2021 (Online) 16th March Evening Shift
A charge Q is moving $$\overrightarrow {dl} $$ distance in the magnetic field $$\overrightarrow {B} $$. Find the value of work done by $$\overrightarr...
JEE Main 2021 (Online) 25th February Morning Shift
A proton, a deuteron and an $$\alpha$$ particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them...
JEE Main 2021 (Online) 25th February Morning Shift
Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in the ratio 8 : 1. The radius of c...
JEE Main 2020 (Online) 6th September Evening Slot
A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with s...
JEE Main 2020 (Online) 6th September Evening Slot
A square loop of side 2$$a$$ and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed p...
JEE Main 2020 (Online) 6th September Morning Slot
An electron is moving along +x direction with a velocity of 6 $$ \times $$ 106 ms–1. It enters a region of uniform electric field of 300 V/cm pointin...
JEE Main 2020 (Online) 6th September Morning Slot
A particle of charge q and mass m is moving with a velocity $$ - v\widehat i$$ (v $$ \ne $$ 0) towards a large screen placed in the Y - Z plane at a d...
JEE Main 2020 (Online) 5th September Evening Slot
An iron rod of volume 10–3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a current of 0.5 A is passed through...
JEE Main 2020 (Online) 5th September Morning Slot
A square loop of side 2$$a$$, and carrying current I, is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed...
JEE Main 2020 (Online) 4th September Evening Slot
A circular coil has moment of inertia 0.8 kg m2 around any diameter and is carrying current to produce a magnetic moment of 20 Am2 . The coil is kept...
JEE Main 2020 (Online) 4th September Morning Slot
A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc ...
JEE Main 2020 (Online) 3rd September Morning Slot
A charged particle carrying charge 1 $$\mu $$C is moving with velocity $$\left( {2\widehat i + 3\widehat j + 4\widehat k} \right)$$ ms–1. If an extern...
JEE Main 2020 (Online) 3rd September Morning Slot
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying current I (Ampere) in units of ...
JEE Main 2020 (Online) 2nd September Evening Slot
The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region with velocity 4 $$ \times $$ 105...
JEE Main 2020 (Online) 2nd September Evening Slot
A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the ...
JEE Main 2020 (Online) 2nd September Morning Slot
A beam of protons with speed 4 × 105 ms–1 enters a uniform magnetic field of 0.3 T at an angle of 60° to the magnetic field. The pitch of the resultin...
JEE Main 2020 (Online) 9th January Evening Slot
An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The electron gun sh...
JEE Main 2020 (Online) 9th January Evening Slot
A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane suc...
JEE Main 2020 (Online) 9th January Morning Slot
A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at ...
JEE Main 2020 (Online) 9th January Morning Slot
A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $$E\overrightarrow i $$ and a uniform magnetic fiel...
JEE Main 2020 (Online) 8th January Evening Slot
A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn...
JEE Main 2020 (Online) 8th January Morning Slot
Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012 m/s2 by an applied magnetic field (west to east). The va...
JEE Main 2020 (Online) 7th January Evening Slot
A particle of mass m and charge q has an initial velocity $$\overrightarrow v = {v_0}\widehat j$$ . If an electric field $$\overrightarrow E = {E_0}...
JEE Main 2019 (Online) 12th April Evening Slot
An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field $$\overrightarrow B = \left( {1.5 \times {{1...
JEE Main 2019 (Online) 12th April Evening Slot
Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figure) ($$\mu $$0 = 4$$\pi $$ × 10...
JEE Main 2019 (Online) 12th April Morning Slot
A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 $$\pi $$ rad s–1 about its axi...
JEE Main 2019 (Online) 10th April Evening Slot
A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. if this square loop is changed to a circular loop a...
JEE Main 2019 (Online) 10th April Evening Slot
The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is : [Take $$\mu $...
JEE Main 2019 (Online) 10th April Morning Slot
Two wires A & B are carrying currents I1 & I2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is...
JEE Main 2019 (Online) 10th April Morning Slot
A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicualr to the p...
JEE Main 2019 (Online) 9th April Evening Slot
A moving coil galvanometer has a coil with 175 turns and area 1 cm2. It uses a torsion band of torsion constant 10–6 N-m/rad. The coil is placed in a ...
JEE Main 2019 (Online) 9th April Morning Slot
A rigid square loop of side 'a' and carrying current I2 is lying on a horizontal surface near a long current I1 carrying wire in the same plane as sho...
JEE Main 2019 (Online) 9th April Morning Slot
A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is kept centered at the origin and ...
JEE Main 2019 (Online) 8th April Evening Slot
Two very long, straight, and insulated wires are kept at 90° angle from each other in xy-plane as shown in the figure. These wires carry currents of e...
JEE Main 2019 (Online) 8th April Morning Slot
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B$${\mathop i\limits^ \wedge }$$ . Th...
JEE Main 2019 (Online) 8th April Morning Slot
A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5 Nm–1 (see figure). The a...
JEE Main 2019 (Online) 12th January Morning Slot
As shown in the figure, two infinitely long, identical wires are bent by 90o and placed in such a way that the segments LP and QM are along the x-axis...
JEE Main 2019 (Online) 12th January Morning Slot
A proton and an $$\alpha $$-particle (with their masses in the ratio of 1 : 4 and charges in the ratio of 1 : 2) are accelerated from rest through a p...
JEE Main 2019 (Online) 11th January Evening Slot
The region between y = 0 and y = d contains a magnetic field $$\overrightarrow B = B\widehat z$$. A particle of mass m and charge q enters the regio...
JEE Main 2019 (Online) 11th January Evening Slot
A particle of mass m and charge q is in an electric and magnetic field given by $$\overrightarrow E = 2\widehat i + 3\widehat j;\,\,\,\overrightarrow...
JEE Main 2019 (Online) 11th January Morning Slot
In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is...
JEE Main 2019 (Online) 10th January Evening Slot
A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective ...
JEE Main 2019 (Online) 10th January Morning Slot
An insulating thin rod of length $$l$$ has a linear charge density $$\rho \left( x \right)$$ = $${\rho _0}{x \over l}$$ on it. The rod is rotated abou...
JEE Main 2019 (Online) 9th January Evening Slot
A particle having the same charge as of electron moves in a ciurcular path of radius 0.5 cm under the influence of a magnetic field 0f 0.5 T. If an el...
JEE Main 2019 (Online) 9th January Evening Slot
One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical tur...
JEE Main 2019 (Online) 9th January Morning Slot
A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point ...
JEE Main 2019 (Online) 9th January Morning Slot
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and dis...
JEE Main 2018 (Online) 16th April Morning Slot
A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity $$\omega $$ with resect to normal axis t...
JEE Main 2018 (Offline)
An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp, r$$_\alpha$$ respectively in...
JEE Main 2018 (Offline)
The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1. When the dipole moment is doub...
JEE Main 2018 (Online) 15th April Evening Slot
A current of 1 A is flowing on the sides of an equilateral triangle of side 4.5 $$ \times $$ 10-2 m. The magnetic field at the center of the triangle ...
JEE Main 2018 (Online) 15th April Morning Slot
A Helmholtz coil has a pair of loops, each with $$N$$ turns and radius $$R$$. They are placed coaxially at distance $$R$$ and the same current $${\rm ...
JEE Main 2017 (Online) 9th April Morning Slot
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the...
JEE Main 2017 (Online) 8th April Morning Slot
A magnetic dipole in a constant magnetic field has :
JEE Main 2017 (Online) 8th April Morning Slot
In a certain region static electric and magnetic fields exist. The magnetic field is given by $$\overrightarrow B = {B_0}\left( {\widehat i + 2\wideh...
JEE Main 2016 (Online) 9th April Morning Slot
A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the fields has a magnitude of 15 mT...
JEE Main 2016 (Online) 9th April Morning Slot
To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to deflect the galvanometer by angl...
JEE Main 2016 (Offline)
Two identical wires $$A$$ and $$B,$$ each of length $$'l'$$, carry the same current $$I$$. Wire $$A$$ is bent into a circle of radius $$R$$ and wire $...
JEE Main 2015 (Offline)
Two long current carrying thin wires, both with current $$I,$$ are held by insulating threads of length $$L$$ and are in equilibrium as shown in the f...
JEE Main 2015 (Offline)
A rectangular loop of sides $$10$$ $$cm$$ and $$5$$ $$cm$$ carrying a current $$1$$ of $$12A$$ is placed in different orientations as shown in the fig...
JEE Main 2014 (Offline)
A conductor lies along the $$z$$-axis at $$ - 1.5 \le z < 1.5\,m$$ and carries a fixed current of $$10.0$$ $$A$$ in $$ - {\widehat a_z}$$ direction...
AIEEE 2012
Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, denu...
AIEEE 2012
A charge $$Q$$ is uniformly distributed over the surface of non-conducting disc of radius $$R.$$ The disc rotates about an axis perpendicular to its p...
AIEEE 2011
A current $$I$$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $$R.$$ The magnitude of the magnetic...
AIEEE 2010
Two long parallel wires are at a distance $$2d$$ apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation...
AIEEE 2009
A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$) and $$DA$$ (radius $$=a$$) of...
AIEEE 2009
A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$) and $$DA$$ (radius $$=a$$) of...
AIEEE 2008
A horizontal overhead powerline is at height of $$4m$$ from the ground and carries a current of $$100A$$ from east to west. The magnetic field directl...
AIEEE 2007
A charged particle with charge $$q$$ enters a region of constant, uniform and mutually orthogonal fields $$\overrightarrow E $$ and $$\overrightarrow ...
AIEEE 2007
A charged particle moves through a magnetic field perpendicular to its direction. Then
AIEEE 2007
A current $$I$$ flows along the length of an infinitely long, straight, thin walled pipe. Then
AIEEE 2007
A long straight wire of radius $$a$$ carries a steady current $$i.$$ The current is uniformly distributed across its cross section. The ratio of the ...
AIEEE 2007
Two identical conducting wires $$AOB$$ and $$COD$$ are placed at right angles to each other. The wire $$AOB$$ carries an electric current $${I_1}$$ an...
AIEEE 2006
In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released ...
AIEEE 2006
A long solenoid has $$200$$ turns per $$cm$$ and carries a current $$i.$$ The magnetic field at its center is $$6.28 \times {10^{ - 2}}\,\,\,Weber/{m^...
AIEEE 2005
Two thin, long, parallel wires, separated by a distance $$'d'$$ carry a current of $$'i'$$ $$A$$ in the same direction. They will
AIEEE 2005
A charged particle of mass $$m$$ and charge $$q$$ travels on a circular path of radius $$r$$ that is perpendicular to a magnetic field $$B.$$ The time...
AIEEE 2005
Two concentric coils each of radius equal to $$2$$ $$\pi $$ $$cm$$ are placed at right angles to each other. $$3$$ ampere and $$4$$ ampere are the c...
AIEEE 2005
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the d...
AIEEE 2004
A current $$i$$ ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
AIEEE 2004
A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is $$B.$$ It is then bent ...
AIEEE 2004
The magnetic field due to a current carrying circular loop of radius $$3$$ $$cm$$ at a point on the axis at a distance of $$4$$ $$cm$$ from the centr...
AIEEE 2004
Two long conductors, separated by a distance $$d$$ carry current $${I_1}$$ and $${I_2}$$ in the same direction. They exert a force $$F$$ on each other...
AIEEE 2003
A particle of mass $$M$$ and charge $$Q$$ moving with velocity $$\overrightarrow v $$ describe a circular path of radius $$R$$ when subjected to a uni...
AIEEE 2003
A particle of charge $$ - 16 \times {10^{ - 18}}$$ coulomb moving with velocity $$10m{s^{ - 1}}$$ along the $$x$$-axis enters a region where a magneti...
AIEEE 2002
If a current is passed through a spring then the spring will
AIEEE 2002
If an electron and a proton having same momentum enter perpendicular to a magnetic field, then
AIEEE 2002
If in a circular coil $$A$$ of radius $$R,$$ current $$I$$ is flowing and in another coil $$B$$ of radius $$2R$$ a current $$2I$$ is flowing, then th...
AIEEE 2002
The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its
AIEEE 2002
Wires $$1$$ and $$2$$ carrying currents $$i{}_1$$ and $$i{}_2$$ respectively are inclined at an angle $$\theta $$ to each other. What is the force on ...
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