For a particular conducting loop

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

For a particular conducting loop, the area, magnetic field magnitude, and orientation angle vary in time according to the following relations: •

A(t) = 0.020\,\text{m}^2 + 0.005\,\text{m}^2\,\text{s}^{-1}t

•

B(t) = 0.30\,\text{T} + 0.10\,\text{T}\,\text{s}^{-1}t

•

\theta(t) = 60^\circ - 10^\circ\,\text{s}^{-1}t

, where

\theta

is the angle between the field and the area vector. Determine the magnitude of the induced emf in the loop at

t = 2.0\,\text{s}