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 = 6.0 cm. The current in one wire is I1 = 2.4 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.

Two long, straight wires are oriented perpendicular to the computer screen, as shown in the figure, in which L = 6.0 cm. The current in one wire is I1 = 2.4 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

L = 6.0 cm. The current in one wire is I1 = 2.3 A, pointing into the screen, and the current in the other wire is I2 = 4.0 A

Bx = /2 (2.3/0.06 - 4/(0.06*1.41421)*0.707107)

Bx = 2e-7 * (2.3/0.06 - 4/(0.06*1.41421)*0.707107)

Bx = 10e-7 T

By = 2e-7 * (-4/(0.06*1.41421)*0.707107)

By = -6.6667e-6 T

B = (10e-7*10e-7+6.6667e-6*6.6667e-6) = 6.74e-6 T

= 180 - Arctan(6.6667e-6/10e-7) = 98.5 degrees or 81.5 degrees

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