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

Question

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 = 1.6 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.

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 = 1.6 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.

Explanation / Answer

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)(1.6)/2*0.2

B_net =5.03*10^-6 T or 5.03uT

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