Two long, straight wires are oriented perpendicular to the computer screen, as s

Question

Two long, straight wires are oriented perpendicular to the computer screen, as shown in the figure, in which L = 5.5 cm. The current in one wire is I1 = 3.1 A, pointing into the screen, and the current in the other wire is I2 = 4.0 A,  pointing out of the screen. Find the magnitude and direction of the net magnetic field at point P.

magnitude        T direction      Two long, straight wires are oriented perpendicular to the computer screen, as shown in the figure, in which L = 5.5 cm. The current in one wire is I1 = 3.1 A, pointing into the screen, and the current in the other wire is I2 = 4.0 A, pointing out of the screen. Find the magnitude and direction of the net magnetic field at point P.

Explanation / Answer

B1=k*3.1/2*pi*.055=112.72*10^-7 towrds right

B2=k*4/2*pi*.077=103.9*10^-7 towrds 45 degrees antoclock wise from point p

Bx=112.72*10^-7-103.9*10^-7cos45=38.5*10^-7------------1

By=103.9*10^-7sin45=73.468*10^-7--------------2

from above eq 1 and 2

B=8.3*10^-6 T

angle

tan-(By/Bx)=62.34 degrees

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