The picture above shows a cross-sectional view through three long straight curre

Question

The picture above shows a cross-sectional view through three long straight current-carrying wires, which are each carrying current perpendicular to the page (or the screen). In this problem, use these values:
the distance a = 50.0 cm;
the current I = 3.50 amps.

Calculate the net force per unit length acting on the wire that carries a current of 3I out of the page, at x = +2a. Use a plus sign if the force is directed to the right, and a minus sign if the force is directed to the left.

The picture above shows a cross-sectional view through three long straight current-carrying wires, which are each carrying current perpendicular to the page (or the screen). In this problem, use these values: the distance a = 50.0 cm; the current I = 3.50 amps. Calculate the net force per unit length acting on the wire that carries a current of 3I out of the page, at x = +2a. Use a plus sign if the force is directed to the right, and a minus sign if the force is directed to the left.

Explanation / Answer

Here ,

as the force between two wires is given as

F = u0*i1 *i2/(2*pi*d)

Now , on current wire 3I

F = u0*3I*(I/3a + 3I/6a)/2*pi

F = u0*3*(3.5)^2*(1/3 + 1/2)/(6.282 * .50)

F = 1.225 *10^-5 N

the net force acting on the wire is 1.225 *10^-5 N

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