1. In the figure below, the bottom wire carries a current of 5.5 A . The current
ID: 1261170 • Letter: 1
Question
1. In the figure below, the bottom wire carries a current of 5.5 A. The current of the upper wire is directed in the opposite direction, and the total magnetic field at point p1 is zero.
A) What is the current in the top wire?
B) Given that the wires are separated by 2a, where a=0.021 m, what is the magnitude of the magnetic field at point p2?
1. In the figure below, the bottom wire carries a current of 5.5 A. The current of the upper wire is directed in the opposite direction, and the total magnetic field at point p1 is zero. A) What is the current in the top wire? B) Given that the wires are separated by 2a, where a=0.021 m, what is the magnitude of the magnetic field at point p2?Explanation / Answer
Since we know the field at p1, we can find other unknowns. Equating the field due to each wire at p1 and setting the equations equal to each other
B2 = mu0 I2 / 2 pi a
B1 = mu0 I1 / 2 pi (3a)
mu0 I2 / 2 pi a = mu0 I1 / 2 pi (3a)
I1 = 3I2 = 3 * 5.5
= 16.5 A
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