An emf is induced by rotating a 1247 turn, 20.0 cm diameter coil in the Earth's 6.13 10-5 T magnetic field. What average emf is induced, given the plane of the coil is originally perpendicular to the Earth's field and is rotated to be parallel to the field in 10.0 ms

The average induced emf = 2.4015V

Explanation:

Given.

Turn, N = 1247

diameter coil = 20cm

Magnetic field = 6.13 * 10^-5T

Parallel to field = 10ms

From Faraday law, we know that the emf induced in a coil is directly proportional to the rate of change of magnetic flux through the coil.

This is given by;

-Nd∅b/ft

= -N * d/dt(BA)

= -NB*dA/dt

= - 1247 * 6.13 * 10^-5 * (0 - (π * 0.10²))/0.001

= 2.40146798192322743920646

= 2.4015V Approximated

The average induced emf = 2.4015V