The magnetic field through a coil of turns

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

Problem

The magnetic field through a coil of

200

turns, each of area

5.0\times10^{-3}\,\text{m}^2

, varies with time as

B = 0.20\,\sin(120\pi t)

tesla. The plane of the coil is perpendicular to the field. What is the maximum value of the induced emf in the coil? (a)

53\,\text{V}

(b)

75\,\text{V}

(c)

150\,\text{V}

(d)

37\,\text{V}