Question

At what frequency should a 200-turn, flat coil of cross sectional area of 300 cm2 be rotated in a uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 8.0 V

Answer 1

The frequency of the coil is 7.07 Hz

Step-by-step explanation:

Given;

number of turn of the coil, N = 200 turn

area of the coil, A = 300 cm² = 0.03 m²

magnitude of magnetic field, B = 30 mT = 0.03 T

maximum value of induced emf, E = 8 V

The maximum induced emf in the coil is given by;

E = NBAω

E = NBA(2πf)

`f = (E_(max))/(2\pi*NBA)`

where;

f is the frequency of the coil

`f = (E_(max))/(2\pi*NBA)\\\\f = (8)/(2\pi(200)(0.03)(0.03)) \\\\f = 7.07 \ Hz`

Therefore, the frequency of the coil is 7.07 Hz