Two long, parallel wires are separated by 1.8 m. Each wire has a 28-A current, b

Question

Two long, parallel wires are separated by 1.8 m. Each wire has a 28-A current, but the currents are in opposite directions. Determine the magnitude of the net magnetic field midway between the wires. Express your answer to two significant figures and include the appropriate units. Determine the magnitude of the net magnetic field at a point 0.9 m to the side of one wire and 2.7 m from the other wire. The point is in the same plane as the wires. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

here,

distance between the wires , d = 1.8 m

current , I = 28 A

A)

the magnitude of the net magnetic feild midway between the wires , B = 2 * u0 * I/( 2 * pi * (d/2))

B = 2 * 1.26 * 10^-6 * 28 /( 2 * pi * 0.9)

B = 1.25 * 10^-5 T

B)

the magnitude of the magnetic feild , B' = u0 * I/( 2 * pi ) * ( 1/0.9 - 1/2.7)

B' = 1.26 * 10^-6 * 28/(2 * pi ) * ( 1/0.9 - 1/2.7)

B' = 4.16 * 10^-6 T

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