Question

1.

A rectangular loop of wire with sides 0.142 and 0.528 m lies in
a plane perpendicular to a constant magnetic field (see part
*a* of the drawing). The magnetic field has a magnitude of
0.604 T and is directed parallel to the normal of the loop's
surface. In a time of 0.104 s, one-half of the loop is then folded
back onto the other half, as indicated in part *b* of the
drawing. Determine the magnitude of the average emf induced in the
loop.

2. Two flat surfaces are exposed to a uniform, horizontal
magnetic field of magnitude 0.39 T. When viewed edge-on, the first
surface is tilted at an angle of 25° from the horizontal, and a net
magnetic flux of 8.4 x 10^{-4} Wb passes through it. The
same net magnetic flux passes through the second surface.
**(a)** Determine the area of the first surface.
**(b)** Find the smallest possible value of the area
of the second surface.

Answer #1

The solution is given below.

Two flat surfaces are exposed to a uniform, horizontal magnetic
field of magnitude 0.80 T. When viewed edge-on, the first surface
is tilted at an angle of 20° from the horizontal, and a net
magnetic flux of 8.3 x 10-4 Wb passes through it. The
same net magnetic flux passes through the second surface.
(a) Determine the area of the first surface.
(b) Find the smallest possible value of the area
of the second surface.

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Chapter 22, Problem 27
A magnetic field is passing through a loop of wire whose area is
0.014 m2. The direction of the magnetic field is
parallel to the normal to the loop, and the magnitude of the field
is increasing at the rate of 0.15 T/s. (a)
Determine the magnitude of the emf induced in the loop.
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