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A long solenoid of radius $2 c m$ has $100 t u r n s / c m$ and is surrounded by a 100 turn coil of radius 4 cm having a total resistance $20 Ω .$ If current changes from $5 A$ to $- 5 A$ , find the charge through galvanometer.

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Zero

800 µC

400 µC

600 µC

answer is B.

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Detailed Solution

$ϕ = B π r^{2}, ε = \frac{d ϕ}{d t} = N π r^{2} \frac{d B}{d t} = N π r^{2} μ_{0} n \frac{d I}{d t}$

$I = \frac{ε}{R}, Q = I Δ t = \frac{N π r^{2} μ_{0} n d I}{R}$

Substituting the values we get $Q = 800 μ C$

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