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A rectangular loop of wire hangs vertically as shown in the figure. A magnetic f

ID: 1438084 • Letter: A

Question

A rectangular loop of wire hangs vertically as shown in the figure. A magnetic field is directed horizontally, perpendicular to the wire, and points out of the page at all points as represented by the symbol The magnetic field is very nearly uniform along the horizontal portion of the wire ab (length is 0.1 m) which is near the center of a large magnet producing the field. The top portion of the wire loop is free of the field. The loop hangs from a balance which measures a downward force (in addition to the gravitational force) of 3.2 times 10^-2 N when the wire carries a current 0.29 A. What is the magnitude of the magnet field B at the center of the magnet? 1.10345 T 1.14 T 1.18 T 1.22759 T 1.26667 T

Explanation / Answer

Here,

Downwards force , Fd = 3.2 *10^-2 N

current , I = 0.29 A

length , L = 0.1 m

magnitude of magnetic field is B

as F = B *I*L

3.2 *10^-2 = B * 0.29 * 0.1

B = 1.10345 T

the magnetic field is 1. 1.10345 T

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