A rectangular coil of 300 turns has an average area of 25 ~cm 10 ~cm . The coil rotates with a speed of 50 ~cps in uniform magnetic field of strength 4 10⁻² ~T about an axis perpendicular to the field. The peak value of the induced emf ( in V ) is

Step-by-step solution

Peak value of emf is induced, when longer side of rectangular coil moves perpendicular to the field. Given, aligned f &=50 cps , A &=25 10 10⁻⁴ ~m ² &=250 10⁻⁴ ~m ² B &=4 10⁻² ~T , and N=300 aligned Peak value of induced emf, e₀=N A B aligned &=300 250 10⁻⁴ 4 10⁻² 2 50 &=30 V aligned