A coil consisting of tightly wound turns encloses a fixed area of

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

Problem

A coil consisting of

200

tightly wound turns encloses a fixed area of

0.015\,\text{m}^2

. The axis of the coil makes an angle of

30^{\circ}

with a spatially uniform magnetic field. Beginning at

t=0

, the field’s magnitude increases at a constant rate of

0.080\,\text{T\,s}^{-1}

and maintains its direction. (a) Determine the magnetic flux through the coil at

t=0

and at

t=2.0\,\text{s}

. Express each answer with appropriate units. (b) Calculate the magnitude of the average emf induced in the coil during the interval from

t=0

t=2.0\,\text{s}

. (c) If the total resistance of the closed coil circuit is

5.0\,\Omega

, determine the magnitude of the average current that flows during this interval.