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kph2015 kph2015
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10 years ago
Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnetic field midway between the two wires?


5.0×10-5 T
2.0×10-5 T
3.0×10-5 T
4.0×10-5 T
1.0×10-5 T
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Staff Member
Educator
10 years ago
Magnetic field due to a wire is proportional to I/R. [B = (M0)I / 2(pi)R]

So, setting B1 = B2 and canceling constants, we get
I1 / R1 = I2 / R2
20(R2) = 5(R1)
R1 = 4(R2)

So, it should be 4 times further from the wire carrying 20A, or 4/5 of the distance separating the wires.
r = .8 * .20m = .16m (from the 20A wire)

Hope that helps
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