Four, long, parallel power lines each carry 107-A currents. A cross-sectional di

Question

Four, long, parallel power lines each carry 107-A currents. A cross-sectional diagram of these lines is a square, 22.0 cm on each side (a) For case (a) shown in the figure above, calculate the magnetic field at the center of the square. magnitude 0 direction into the page (b) For case (b) shown in the figure above, calculate the magnetic field at the center of the square. magnitude direction upward (c) For case (c) shown in the figure above, calculate the magnetic field at the center of the square. magnitude direction to the left

Explanation / Answer

a)  net magnetic field at the center of the square = zero

b) net magnetic field at center of square = 0

c) B = mu0 i / 2 pi r

= (4 pi * 10-7 * 107) / (2 pi * 11 * sqrt 2 * 10-2) = 1.37 * 10-4 T

B = sqrt [2B2 + 2B2]

= 2 * sqrt 2 * B = 2 * sqrt 2 * 1.37 * 10-4

= 3.89 * 10-4 T

to the left

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