Electricity and Magnetism · Problem 7.25

ALTERNATING-CURRENT CIRCUITS — Edward Purcell & David Morin

Physics — E&M · electromagnetic-induction-sliding-loop

Problem

Sliding loop ** A long straight stationary wire is parallel to the

y

axis and passes through the point

z = h

on the

z

axis. A current

I

flows in this wire, returning by a remote conductor whose field we may neglect. Lying in the

xy

plane is a square loop with two of its sides, of length

b

, parallel to the long wire. This loop slides with constant speed

v

in the

\hat{x}

direction. Find the magnitude of the electromotive force induced in the loop at the moment when the center of the loop crosses the

y

axis.