Two infinitely long straight wires A1 and A2 carrying currents I and 2I flowing in the same directions are kept ‘d’ distance apart. Where should a third straight wire carrying current 1.5 I be placed between and so that it experiences no net force due to and ? Does the net force acting on depend on the current flowing through it ?
As we know the force per unit length on two infinitely current-carrying wires is given by Where is current carrying by wire A and by wire and d is the distance between parallel wires.
Now, force per unit length on wire due to
In -ve x-direction.
and force per unit length on wire due to .
In +ve x- direction.
So, for net force on , both the equations should be equal.
therefore,
if the net force on will be zero.
Net force depends on the current flowing.