In a coil of area $10 c m^{2}$ and 10 turns with magnetic field directed perpendicular to the plane and is changing at the rate of $10^{8}$ Gauss/second. The resistance of the coil is $20 Ω$ . The current in the coil will be

0.5 A

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50 A

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5 \times 10^{8} A

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Solution

The correct option is C 5A
$ϵ = \frac{d ϕ}{d t} = n A \frac{d B}{d t}$
$∴ ϵ = 10 \times (10 \times 10^{- 4}) (10^{4}) (10^{8} G a u s s / s e c = 10^{4} T / s)$
$= 100 V$
$I = (ϵ / R) = (100 / 20) = 5 A$ .

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In a coil of area 10cm2 and 10 turns with magnetic field directed perpendicular to the plane and is changing at the rate of 108 Gauss/second. The resistance of the coil is 20Ω. The current in the coil will be

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In a coil of area $10 c m^{2}$ and 10 turns with magnetic field directed perpendicular to the plane and is changing at the rate of $10^{8}$ Gauss/second. The resistance of the coil is $20 Ω$ . The current in the coil will be

The correct option is C 5A
$ϵ = \frac{d ϕ}{d t} = n A \frac{d B}{d t}$
$∴ ϵ = 10 \times (10 \times 10^{- 4}) (10^{4}) (10^{8} G a u s s / s e c = 10^{4} T / s)$
$= 100 V$
$I = (ϵ / R) = (100 / 20) = 5 A$ .