A rigid rectangular loop of area makes an angle with a uniform magnetic field of

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A rigid rectangular loop of area

0.10\,\text{m}^2

makes an angle

30^{\circ}

with a uniform magnetic field of

0.40\,\text T

. The loop rotates so that

\theta

increases at

5\,\text{rad}\,\text s^{-1}

and the magnetic field simultaneously decreases at

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

. Calculate the magnitude of the induced emf at that instant. (a)

98\,\text{mV}

(b)

2.0\,\text{mV}

(c)

0.10\,\text{V}

(d)

18\,\text{mV}