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  4. Flux φ in weber linked with a closed circuit of resistance 10 Ω varies with time t according to the equation (φ = 6t2-5t+ 1). Magnitude of the induced current at t = 0.25s is

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Q. Flux $\phi$ in weber linked with a closed circuit of resistance $10 \,\Omega$ varies with time t according to the equation$ (\phi = 6t^2-5t+ 1)$. Magnitude of the induced current at t = 0.25s is

Electromagnetic Induction

Solution:

$\phi=6 t ^{2}-5 t +1$
$e =\frac{ d \phi}{ dt }=12 t -5$
at $t =0.25 \sec$
$| e |=(12 / 4-5)=|3-5|=2$
$i = e / R =2 / 10=0.2\, A$