A single circular loop of radius lies in a uniform magnetic field perpendicular to…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A single circular loop of radius

0.090\,\text{m}

lies in a uniform magnetic field perpendicular to the plane of the loop. The magnetic field varies in time as follows: • From

t=0

t=0.10\,\text{s}

, the field increases linearly from

0

0.15\,\text{T}

. • From

t=0.10\,\text{s}

t=0.30\,\text{s}

, the field remains constant at

0.15\,\text{T}

. • From

t=0.30\,\text{s}

t=0.50\,\text{s}

, the field decreases linearly to

-0.15\,\text{T}

. (a) Calculate the magnitude of the induced emf in the loop during the interval

0.30\,\text{s}\le t\le0.50\,\text{s}

. (b) State whether the induced current in this interval is clockwise or counterclockwise when viewed along the field’s original direction.