JEE Main 2023 (Online) 29th January Morning Shift | Alternating Current and Electromagnetic Induction Question 48 | Physics

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

-1

Find the mutual inductance in the arrangement, when a small circular loop of wire of radius '$$R$$' is placed inside a large square loop of wire of side $$L$$ $$(L \gg R)$$. The loops are coplanar and their centres coincide :

JEE Main 2023 (Online) 29th January Morning Shift Physics - Alternating Current and Electromagnetic Induction Question 44 English

$$M=\frac{\sqrt{2} \mu_{0} R}{L^{2}}$$

$$M=\frac{2 \sqrt{2} \mu_{0} R}{L^{2}}$$

$$M=\frac{2 \sqrt{2} \mu_{0} R^{2}}{L}$$

$$M=\frac{\sqrt{2} \mu_{0} R^{2}}{L}$$

JEE Main 2023 (Online) 25th January Evening Shift

MCQ (Single Correct Answer)

-1

A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be __________.

20 V

8 V

16 V

12 V

JEE Main 2023 (Online) 25th January Evening Shift

MCQ (Single Correct Answer)

-1

Match List I with List II

	List I		List II
A.	Gauss's Law in Electrostatics	I.	$$\oint {\overrightarrow E \,.\,d\overrightarrow l = - {{d{\phi _B}} \over {dt}}} $$
B.	Faraday's Law	II.	$$\oint {\overrightarrow B \,.\,d\overrightarrow A = 0} $$
C.	Gauss's Law in Magnetism	III.	$$\oint {\overrightarrow B \,.\,d\overrightarrow l = {\mu _0}{i_c} + {\mu _0}{ \in _0}{{d{\phi _E}} \over {dt}}} $$
D.	Ampere-Maxwell Law	IV.	$$\oint {\overrightarrow E \,.\,d\overrightarrow s = {q \over {{ \in _0}}}} $$

Choose the correct answer from the options given below :

A-I, B-II, C-III, D-IV

A-III, B-IV, C-I, D-II

A-IV, B-I, C-II, D-III

A-II, B-III, C-IV, D-I

JEE Main 2023 (Online) 25th January Morning Shift

MCQ (Single Correct Answer)

-1

An electromagnetic wave is transporting energy in the negative $$z$$ direction. At a certain point and certain time the direction of electric field of the wave is along positive $$y$$ direction. What will be the direction of the magnetic field of the wave at that point and instant?

Negative direction of $$y$$

Positive direction of $$z$$

Positive direction of $$x$$

Negative direction $$x$$

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