Question 8 refers to the picture, shown below. In the picture, a very long wire

Question

Question 8 refers to the picture, shown below. In the picture, a very long wire intersecting the page perpendicularly at the origin carries a current of 4.0 A into the page. Another wire intersects the page perpendicularly at (-2.0 m, 0 m) and carries current of 4.0 A out of the page. Point P is located at (-1.0 m, -1.0 m). 8. What is the magnitude of the magnetic field at point P due to the two current-carrying wires? a)0 T. b) 4.0 x 10^-7 T. c) 5.7 x 10^-7 T. d) 8.0 x 10^-7 T. e) 1.1 x 10^-6 T.

Explanation / Answer

apply the formula for magnetic field for each wire as B = uoi/2piR

here R   from I1 is R^2 = 2=1^2+1^2 = sqrt 5   = 1m

so

B due to one of the wire ids B1 = 4*3.14e-7 * 4 /(2*3.14* 1)

B1 = 8 e -7 T

Similarly B2 = uoi/2piR = 4*3.14e-7 * 4 /(2*3.14* 1)

B2 = - 8 e -7 T

so Bnet = B1-B2 = 0 T

option A it is

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