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

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
+4
-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 __________.

A
20 V
B
8 V
C
16 V
D
12 V
3
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1

A metallic rod of length 'L' is rotated with an angular speed of '$$\omega$$' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be :

A
$$\mathrm{\frac{1}{2}B^2L^2\omega}$$
B
$$\mathrm{\frac{1}{2}BL^2\omega}$$
C
$$\mathrm{\frac{1}{4}BL^2\omega}$$
D
$$\mathrm{\frac{1}{4}B^2L\omega}$$
4
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

A conducting circular loop of radius $$\frac{10}{\sqrt\pi}$$ cm is placed perpendicular to a uniform magnetic field of 0.5 T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is :

A
emf = 10 mV
B
emf = 5 mV
C
emf = 100 mV
D
emf = 1 mV
EXAM MAP
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