First slide

Faraday's law of Electromagnetic induction

Question

A circular metallic has a resistance $10 Ω$ . Area enclosed by the ring is $0 .5 m^{2}$ . The ring is placed in a uniform magnetic field with its plane perpendicular to the field. The magnetic field is decreasing at the rate of 5 Tesla/sec. then total charge flown through a cross section of the wire of the ring in 10 second is

Moderate

A

0.05 coul
B

1.5 coul
C

0.5 coul
D

2.5 coul

Solution

$ε$ = emf induced in the ring $= 0 .5 \times 5 volt = 2 .5 volt$
Current induced in the ring $= \frac{2 .5}{10} A = 0 .25 A$
$∴$ Charge flown in 10 second $= 0 .25 \times 10 coul = 2 .5 coul$

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