A coil has N turns enclosing an area of A . In a physics laboratory experiment,

Question

A coil has N turns enclosing an area of A. In a physics laboratory experiment, the coil is rotated during the time interval t from a position in which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of each turn is parallel to the field. The magnitude of Earth's magnetic field at the lab location is B.

What is the magnitude of the average emf induced in the coil?
If a symbolic answer is required, your expression must include B, A, and any other variables.

Explanation / Answer

Flux = field*area*sin(theta) = BAsin(theta)

The total magnitude of the 'initial flux' through the coil before it is rotated is

sin(theta) = 1; flux = BA

The magnitude of the 'final magnetic' flux through the coil after it is rotated is

sin(theta) = 0; flux = 0

The magnitude of the average emf induced in the coil is

V = Na*d(BA)/dt

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