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  4. A coil of 20 × 20 cm2 having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately

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Q. A coil of $20 × 20 \,cm^2$ having 30 turns is making 30 rps in a magnetic field of induction 1 T. The peak value of the induced e.m.f. is approximately

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Solution:

Here, $A = 20 × 20\, cm^{2} = 20 × 20 × 10^{-4} \,m^{2}$
$= 4 × 10^{-2}\, m^{2}$
$n = 30\, rps, \,B = 1 \,T, \,N = 30 \,turns$
$\varepsilon = NAB \,\omega = NAB\, \left(2\pi\upsilon\right)$
$= 30 × 4 × 10^{−2} × 1 × 2 × 3.14 × 30= 226 \,V$