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.