Two circular coils of diameter 30.0 cm are parallel to each other and have their

Question

Two circular coils of diameter 30.0 cm are parallel to each other and have their centers along the same line L but separated by 22.0 cm. When an experimenter views the coils along L, the coil closer to her carries a clockwise current of 2.50 A. Find the magnitude and sense (clockwise or counterclockwise) of the current needed in the other coil so that the net magnetic field on L midway between the two coils will have a magnitude of 4.10 µT and point away from the experimenter who is viewing the coils along L. (Note: µ0 = 4p × 10^-7 T · m/A)

PartA:

magnitude of the current is................A?

PartB:

current sense is ..........clockwise or counterclockwise

Explanation / Answer

B1 = (4*3.14e-7*2.5/2)*(0.15*0.15/(0.15*0.15+0.11*0.11)^(1.5))

    = 0.000000035325 / 0.00643597203225744292854734107851

    = 5.489 T

B2 = 5.489 - 4.10 = 1.389 T

i2 = i1*(B2/B1) = 2.50*(1.389/5.489) = 0.63 A

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b)

counterclockwise

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