Question

A 15-turn circular wire loop with a radius of 3.0 cm is initially in a uniform magnetic field with a strength of 0.5 T. The field decreases to zero over a time of 0.10 sec. What is the induced emf?

Answer 1

Answer:

0.212V

Explanation:

The induced emf in circular loop is $\epsilon=-d\frac{\phi_B}{dt}=-NA\frac{dB}{dt}$

N = Number of loops = 15

A = Cross sectional Area = $\pi$$0.03^{2}$ = 0.0009$\pi$

dB = change in magnetic Field = 0-0.5 = -0.5

dt = time taken = 0.1sec

$\epsilon=-15*0.0009\pi *\frac{-0.5}{0.1}$ = 0.212V