As shown in the figure below, two long parallel wires (1 and 2) carry currents o

Question

As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 2.92 A and I2 = 5.50 A in the direction indicated.

(a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm).

magnitude    _______?T

(b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1.

magnitude    _______?T

direction     ________ ? counterclockwise from the +x-axis As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 2.92 A and I2 = 5.50 A in the direction indicated. (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). magnitude _______µT direction ________ ° counterclockwise from the +x-axis (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. magnitude _______µT direction ________ ° counterclockwise from the +x-axis

Explanation / Answer

a) at the point half way between the two wires ,

Bnet = -B1- B2 = muo ( I1 + I2 ) / 2 *pi * r

Bnet= -[ 4*3.14*10^-7 / (2*3.14*5*10^-2) ] * (2.92+5.50) = -3.368*10^-5 T or 33.8 mu T in to the page

b) at point P, B = {4 * 3.14*10^-7 / 2*3.14 } ( 2.92/0.100) = 5.84 mu T out of page

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