Question

A coil of 20 x 20 cm having 30 turns is making 30 rps in a magnetic field of induction 1 tesla. The peak value of the induced e.m.f. is approximately

• A. 452 volt
• B. 226 volt
• C. 113 volt
• D. 339 volt

Answer 1

The correct option is B 226 volt

$emf=\frac{d}{dt}\left(nBAsin\omega t\right)$
$\Rightarrow emf=nBA\omega sin\omega t$
$\Rightarrow {emf}_{max}=nBA\omega$
$=30\times 1\times 0.2\times 0.2\times 30\times 2\pi$
$=226V$