First slide

Motional EMF

Question

A conducting square loop of side L and resistance R moves in a plane with a uniform velocity v perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is

Easy

A

$\frac{Blv}{R}$ clockwise
B

$\frac{Blv}{R}$ anticlockwise
C

$\frac{2 Blv}{R}$ anticlockwise
D

Zero

Solution

Since the magnetic field is uniform, the flux $ϕ$ through the square loop at any time t is constant, because
$Φ = B \times A = B \times L^{2} = constant$
$∴ e = - \frac{dΦ}{dt} = zero$

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