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  4. A magnetic field of 2 × 10-2 T acts at right angles to a coil of area 100 cm 2 with 50 turns. The average emf induced in the coil is 0.1 V, when it is removed from the field in time t. The value of t is

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Q. A magnetic field of $2 \times 10^{-2} \,T$ acts at right angles to a coil of area $100\, cm ^{2}$ with $50$ turns. The average emf induced in the coil is $0.1 \,V$, when it is removed from the field in time $t$. The value of $t$ is

Solution:

$e=-\frac{N\left(B_{2}-B_{1}\right) A \cos \theta}{\Delta t}$
$\Rightarrow 0.1=\frac{-50 \times\left(0-2 \times 10^{-2}\right) \times 100 \times 10^{-4} \times \cos 0^{\circ}}{ t }$
$\Rightarrow t =0.1 \,\sec$