The two wires shown in the figure below are separated by d = 10.7 cm and carry c

Question

The two wires shown in the figure below are separated by d = 10.7 cm and carry currents of I = 5.45 A in opposite directions.

(a) Find the magnitude and direction of the net magnetic field at a point midway between the wires.

magnitude __________T

(b) Find the magnitude and direction of the net magnetic field at point P1, 10.7 cm to the right of the wire on the right.

magnitude __________T

(c) Find the magnitude and direction of the net magnetic field at point P2, 2d = 21.4 cm to the left of the wire on the left.

magnitude___________ T

Explanation / Answer

  For some distance from any given wire, the magnetic field would be

B = (µo)(I) / (2r) (from Ampere's law)

B = (4e-7 T-m/A)(5.45 A) / (2r)
B = 1.09e-6 T-m / r

(a)
B = 2[1.09e-76T-m / r]
B = 1.09e-6 T-m / (0.107 m / 2)
B = 2.03e-5 T

(b)
B = (1.09e-7 T-m / 0.107 m) - (1.09e-7 T-m / [2(0.107 m)])
B = 5.22e-6 T (opposite in direction from (a)'s answer)

(c)
B = (1.09e-7 T-m / [2(0.107 m)]) - (1.09e-6 T-m / [3(0.107m)])
B = 1.74e-6 T (same direction as (b)'s answer)

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