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The two wires shown in the figure below are separated by d = 10.5 cm and carry c

ID: 1548778 • Letter: T

Question

The two wires shown in the figure below are separated by d = 10.5 cm and carry currents of I = 4.95 A in opposite directions. (a) Find the magnitude and direction of the net magnetic field at a point midway between the wires. magnitude Incorrect: Your answer is incorrect. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. T direction Correct: Your answer is correct. (b) Find the magnitude and direction of the net magnetic field at point P1, 10.5 cm to the right of the wire on the right. magnitude T direction Correct: Your answer is correct. (c) Find the magnitude and direction of the net magnetic field at point P2, 2d = 21.0 cm to the left of the wire on the left. magnitude T direction Incorrect: Your answer is incorrect.

Explanation / Answer

For the distance from any given wire, the magnetic field will be
B = µ0I/2(pi)r

r=5.23=.0525m

(4x10-7T-m/A)(4.95 A) / (2r)
B = 9.9e-7 T-m /.0525

=1.88x10-5 T

(a)
B = 2[9.9x10-7 T-m / r]
B = 1.98x10-6 T-m / (.0525)
B = 3.77x10-5T (don't know the direction because there's no "figure" to see)

(b)
B = (9.9x10-7 T-m / 0.0105m) - (9.9x10-7T-m / [2(0.0105 m)])
B = 4.77x10-5 T (opposite in direction from (a)'s answer)

(c)
B = (9.9x10-7 T-m / [2(0.0105 m)]) - (9.9x10-7 T-m / [3(0.0105 m)])
B = 1.57x10-5 T (same direction as (b)'s answer)