The magnetic field perpendicular to a circular coil of turns and radius varies with…

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

Problem

The magnetic field perpendicular to a circular coil of

50

turns and radius

0.10\,\text{m}

varies with time as

B(t)=4t^{2}+2t

(in tesla,

t

in seconds). The emf induced in the coil at

t=2\,\text{s}

is closest to (a)

31.4\,\text{V}

(b)

28\,\text{V}

(c)

25.1\,\text{V}

(d)

15.7\,\text{V}