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Two straight parallel wires carry currents in opposite directions as shown in th

ID: 2120425 • Letter: T

Question


Two straight parallel wires carry currents in opposite directions as shown in the figure. One of the wires carries a current of I2 = 10.3 A. Point A is the midpoint between the wires. The total distance between the wires is d = 10.7 cm. Point C is 5.02 cm to the right of the wire carrying current I2. Current I1 is adjusted so that the magnetic field at C is zero.


a) Calculate the value of the current I1.


b) Calculate the magnitude of the magnetic field at point A.


c) What is the force between two 1.93 m long segments of the wires?

Explanation / Answer

a) B1 = B2

i1/0.1572 = i2/0.0502

i1 = 32.25 A

b)Bnet = mue*(i1-i2)/(2*pi*0.0565) = 7.77*10^-5 T

c)Fnet = mue*i1*i2*L/(2*pi*d) = 7.895*10^-4 N



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