A conducting circular loop of radius 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 [2023]

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Solution

Q.
A conducting circular loop of radius $\frac{10}{\sqrt{π}}$ 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 [2023]

1 emf = 1 mV

2 emf = 100 mV

3 emf = 5 mV

4 emf = 10 mV

Ans.
(4)

$EMF = \frac{d ϕ}{d t} = \frac{B A - 0}{t}$

$A = π r^{2} = π (\frac{0 . 1^{2}}{π}) = 0.01$

$B = 0.5$

$EMF = \frac{(0.5) (0.01)}{0.5} = 0.01 V = 10 mV$

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