1
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-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

A
$$M=\frac{\sqrt{2} \mu_{0} R}{L^{2}}$$
B
$$M=\frac{2 \sqrt{2} \mu_{0} R}{L^{2}}$$
C
$$M=\frac{2 \sqrt{2} \mu_{0} R^{2}}{L}$$
D
$$M=\frac{\sqrt{2} \mu_{0} R^{2}}{L}$$
2
JEE Main 2023 (Online) 25th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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 __________.

A
20 V
B
8 V
C
16 V
D
12 V
3
JEE Main 2023 (Online) 25th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
A-I, B-II, C-III, D-IV
B
A-III, B-IV, C-I, D-II
C
A-IV, B-I, C-II, D-III
D
A-II, B-III, C-IV, D-I
4
JEE Main 2023 (Online) 25th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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?

A
Negative direction of $$y$$
B
Positive direction of $$z$$
C
Positive direction of $$x$$
D
Negative direction $$x$$
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