Question

A coil having 500 square loops of side 10 cm is placed normal to magnetic field which increases at a rate of 1 T s$^{-1}$. The induced e.m.f. is

• A. 0.1 V
• B. 0.5 V
• C. 1 V
• D. 5 V

Answer 1

Answer: (D)

5 V

Answer 2

Here, area $A = 500 (10/100)^2 = 5\, m^2$
${ \frac{dB}{dt} = 1 \, T \, s^{-1}}$
Induced e.m.f $\left|e\right| =\frac{d\phi}{dt} =\frac{A dB}{dt} = 5\times 1$ = 5 volt.