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Q.

A closed coil has a resistance R. The total flux linked with the coil linearly changes with time according to $ϕ = a t + b$ , where a and b are constants. The magnitude of the average induced current in the coil is

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a

$\frac{a}{R}$

b

$\frac{a + b}{R}$

c

$\frac{b}{R}$

d

$\frac{a}{2 R}$

answer is C.

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Detailed Solution

$ϕ - a t + b$ Average induced emf $= (Δ ϕ / Δ t) = a .$ The average induced current is $a / R$

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