Question

Two circular current-carrying loops of wire are shown in the drawing. The inner loop has a...

Two circular current-carrying loops of wire are shown in the drawing. The inner loop has a radius of R0 and carries a current I0, while the outer loop has a radius of 2R0 and carries a current of 4I0. The currents are in opposite directions. If R0 = 0.20 m and I0 = 2.3 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.


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Answer #1

net magnetic field is

Bnet =B_outer-B_inner

B_net =uo(4Io)/2(2Ro) -uoIo/2Ro

B_net =uoIo/2Ro

B_net =(4pi*10^-7)(2.3)/2*0.2

B_net =7.226*10^-6 T or 7.226uT

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Answer #2

Bnet = B1 - B2 = mue*(io/2*Ro - 4*io/2*Ro) = 3*mue*io/2*Ro = 1.38*10^-5 T

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