Q. 15

# Two infinitely lo

Answer :

We know the force per unit length on two infinitely current-carrying wires if given by

Where Ia is current-carrying by wire A and Irespectively

And d is the distance between parallel wires.

Force per unit length on wire A3 due to A1

In –ve x-direction

And Force per unit length on wire A3 due to A2

In +ive x direction

So for no net force on A3 both equation should be equal

at x = the net force on A3 will be zero.

Also, the net force acting on A3 depends upon the magnitude of the current flowing through it as we can conclude through the formula. However, its direction doesn’t affect our answer because one of A1 or A2 will cancel the effects produced by the wire A3.

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