Answer to Question #153508 in Electricity and Magnetism for Wajih

Question

Calculate induced emf induced in a coil having radius 2 cm and containing 320 turns placed in a time varying magnetic field. The plane of coil is perpendicular to the magnetic field whose expression for is given by:

B=(0. 0120T/s)t + (0.00035T/s⁴)t⁴

The coil is also connected to 300 Ω external resistor.

Answer 1

Answer

Magnetic flux

$\phi=BA=B\pi r^2$

induced emf induced in a coil

is given by

$E=N\frac{d\phi}{dt}$

$=320\times0.0120\times3.14\times0.0004$

=4.8mV