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

ID: 2123705 • Letter: T

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 = 1.5 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.  Is the direction to the left, to the right, into the screen or out of the screen? Please show all work and units. Thanks!

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 = 1.5 A, determine the magnitude and direction of the net magnetic field at the center of the two loops. Is the direction to the left, to the right, into the screen or out of the screen?

Explanation / Answer

B due to inner loop is outside and B due to outer loop is into the page....


hence Bnet =Bi-Bo=(uo/2*pi)*[(i0/R0)-(4io/2Ro)]= -1.5uT......

.negative sign represents Bnet is into the page

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