015 10.0 points A rectangular loop of wire hangs vertically as shown in the figu
ID: 1468850 • Letter: 0
Question
015 10.0 points 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 3×102 N when the wire carries a current 0.2 A.
Explanation / Answer
the formula for magnetic force acting on wire is
F= BIL sin theta
the magnetic forces on the two vertical sections of hte wire loop points to the left and right
they are equal but in opposite directions so they add up to zero
the net magbetic force on the loop is that on the horizontal section ab is
B = F/ IL sin 90 = 3.0 * 10 ^-2 / 0.2 ( 0.1) sin 90 = 1.5 T
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