Two long, straight wires are perpendicular to the plane of the paper and at a di

Question

Two long, straight wires are perpendicular to the plane of the paper and at a distance 0.2 m from each other, as shown in the figure. The wires carry currents of 11-2.8 A and 12 = 5.2 A in the direction indicated (out of the page) Find the magnitude and direction of the magnetic field (in T) at a point A midway between the wires You need to indicatethe direction with a positive or a negative value for the magnetic ield Keep in mind that a vector is positive if directed to the right and negative if directed to the left on the x axis and it is positive if directed up and negative if directed down on the y axis. Your answer should be a number with two decimal places, do not include the unit. -

Explanation / Answer

Magnetic field due to long straight wire is given by

B=uoI/2pir

Magnetic field due to wire 1

B1=(4pi*10-7)*(2.8)/2pi*(0.2/2)=5.6*10-6T

Magnetic field due to wire 2

B1=(4pi*10-7)*(5.2)/2pi*(0.2/2)=1.04*10-5T

Net Magnetic field at point A is given by

Bnet=B1-B2=(5.6*10-6)-(1.04*10-5)

Bnet=-4.8*10-6 T or -4.8 uT

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