1
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

The magnitude of magnetic induction at mid point $$\mathrm{O}$$ due to current arrangement as shown in Fig will be

A
$$\frac{\mu_{0} I}{\pi a}$$
B
$$\frac{\mu_{0} I}{4 \pi a}$$
C
$$\frac{\mu_{0} I}{2 \pi a}$$
D
0
2
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve $$\mathrm{z}$$ direction and lying in $$x y$$ plane is shown in figure. The plot of $$\hat{j}$$ component of magnetic field (By) at a distance '$$a$$' (less than radius of the coil) and on $$y z$$ plane vs $$z$$ coordinate looks like

A
B
C
D
3
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

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 suspension wire is $$4.0\times10^{-5}\mathrm{N~m~rad^{-1}}$$, the magnetic field is 0.01T and the number of turns in the coil is 200, the area of each turn (in cm$$^2$$) is :

A
1.5
B
2.0
C
0.5
D
1.0
4
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

Match List I with List II

List I
(Current configuration)
List II
(Magnitude of Magnetic Field at point O)
A. I. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 2]$$
B. II. $${B_0} = {{{\mu _0}} \over {4 }}{I \over r}$$
C. III. $${B_0} = {{{\mu _0}I} \over {2\pi r}}[\pi - 1]$$
D. IV. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 1]$$

Choose the correct answer from the options given below :

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