Question

If a coil of $20cm\times 20cm$ having $30$ turns is making $3rps$ in a magnetic field of induction $1T$, then the peak value of the induced emf is approximately

• A. .$113V$
• B. $150V$
• C. $226V$
• D. $339V$

Answer 1

The correct option is C $226V$

We know that peak value of induced emf is given by
$e_0=NAB\omega$
given, $N=30,A=20cm\times 20cm=400{cm}^2=4\times {10}^{-2}{m}^2$
$\therefore e_0=30(4\times {10}^{-2})\left(1\right)\left(3\right)\left(2\pi \right)=72\pi =226V$