Referring to figure D, we have two long striaght wires carrying currents 10 amps

Question

Referring to figure D, we have two long striaght wires carrying currents 10 amps into the page and 20 amps out of the page. The wires are seperated by 4 meters. There is a point indicated 3 meters to the left of the 10 amp wire. If a third wire (1 amp out of the page) is placed at this point, calculate the magnitude and direction of the force per meter on this wire exerted by the two given wires.

Please show work to justify the answer. Please let me know if other information is required to solve this problem. Thank you.

Explanation / Answer

F1/L=mu*I1*I2/2*pi*d

=4*PI*10-7*1*10/2*PI*3

=0.66*10-6N/m

F2/L=mu*I3*I2/2*pi*d

=4*PI*10-7*20*10/2*PI*3

=133.33*10-7N/m

NET FORCE=(13.3-0.66)*10-6

=12.73*10-6N/m

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