13. Two infinitely long wires are placed as shown in the figure on the right, with /1 = 120 A placed at x = 0, and /2 = 55.0 A placed at x = a = 15.0 cm. a) Calculate the magnitude of the force per unit length these wires exert on each other and specify the direction in which the force is acting on each wire. b) At what location on the x axis is the total magnetic field due to the two wires equal to zero?
13. Two infinitely long wires are placed as shown in the figure on the right, with /1 = 120 A placed at x = 0, and /2 = 55.0 A placed at x = a = 15.0 cm. a) Calculate the magnitude of the force per unit length these wires exert on each other and specify the direction in which the force is acting on each wire. b) At what location on the x axis is the total magnetic field due to the two wires equal to zero?
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Step 1
Given a=15.0cm=0.150m,
I1=120A
I2=55.0A
a) First the current through wire at x=0 is upward perpendicular to the plane of the page and current through wire at x=a is perpendicularly downward to the plane of the page.
Let's take the direction as x, y and z axes as shown in figure below.
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