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Four long parallel wires pass through the corners of a square with side 0.08 m.

ID: 2279058 • Letter: F

Question

Four long parallel wires pass through the corners of a square with side 0.08 m. All four wires carry the same magnitude of current I = 8.9 A in the directions indicated. Find the magnetic field at point P, the midpoint of the top side of the square.


magnitude:____T

Direction: to the right



How do you solve this problem?

Four long parallel wires pass through the corners of a square with side 0.08 m. All four wires carry the same magnitude of current I = 8.9 A in the directions indicated. Find the magnetic field at point P, the midpoint of the top side of the square. magnitude: T Direction: to the right

Explanation / Answer

Four long parallel wires pass through the corners of a square with side 0.12 m. All four wires carry the same magnitude of current I = 11.3 A in the directions indicated. Find the magnetic field at point P, the midpoint of the top side of the square.


The top two cancel at point P. For the bottom two they produce fields that cancel along the top of the cube, but have a component Bcostheta perpendicular to the wire each So Btotal = 2 B costheta

B = muzero I /( 2 Pi d) and costheta = L / d where L = .12 m and d^2 = .12^2 + .06^2

so Btotal = 2 muzero (11.3) (.12) / [ 2 Pi ( .12^2 + .06^2) ] straight up

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