Just number 35 Determine the magnetic field midway between two long straight wir

Question

Just number 35

Determine the magnetic field midway between two long straight wires 2.0 cm apart in terms of the current I in one when the other carries 25 A. Assume these currents are (a) in the same direction, and (b) in opposite directions. Two straight parallel wires are separated by 7.0 cm. There is a 2.0-A current flowing in the first wire. If the magnetic field strength is found to be zero between the two wires at a distance of 2.2 cm from the first wire, what is the magnitude and direction of the current in the second wire? Two long straight wires each carry a current I out of the page toward the viewer, Fig. 20-56. Indicate, with appropriate arrows, the direction of B Vector at each of the points 1 to 6 in the plane of the page. State if the field is zero at any of the points.

Explanation / Answer

a) Distance between wires = 2 * 10-2 m, I = 25 A

Bnet = [mu0 I1 / 2 pi r1] - [mu0 I2 / 2 pi r2]

= (4 pi * 10-7 / (2 pi * 1 * 10-2)) * (I - 25 A)

Bnet = (2 * 10-5 T/A) (I - 25 A)

b) Bnet = [mu0 I1 / 2 pi r1] + [mu0 I2 / 2 pi r2]

= (4 pi * 10-7 / (2 pi * 1 * 10-2)) * (I + 25 A)

Bnet = (2 * 10-5 T/A) (I + 25 A)

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