The drawing shows four insulated wires overlapping one another, forming a square
ID: 2278860 • Letter: T
Question
The drawing shows four insulated wires overlapping one another, forming a square with 0.050-m sides. All four wires are much longer than the sides of the square. The net magnetic field at the center of the square is 58 ?T directed into the drawing. Calculate the current I.
The drawing shows four insulated wires overlapping one another, forming a square with 0.050-m sides. All four wires are much longer than the sides of the square. The net magnetic field at the center of the square is 58 ?T directed into the drawing. Calculate the current I.Explanation / Answer
wires are much longer than the sides of the square, thus we can usethe equation
B=?0*I/(2?r) ,
by using the crew rules for each current, only the magnetic fieldcaused by the current I is opposite with others
The net magnetic field at the center of the square
Bnet=58 ?T=?0*(3.7+7.5+4.8-I)/(2?r);r=0.05/2=0.025 m
7.25 = 16 - I
=> I=8.75 A
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