(a) Define mutual inductance and write its S.I. unit.
(b) A square loop of side ‘a’ carrying a current is kept at distance x from an infinitely long straight wire carrying a current
as shown in the figure. Obtain the expression for the resultant force acting on the loop.
NEET Foundation 2022.
Biology Foundation for Class 10.
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(a) The property of two coils that opposes the change in current in one coil is defined as mutual Inductance. Let, the two coils :- coil 1 with number of turns
and coil 2 with the number of turns 
.
The magnetic flux across them is
and 
respectively.
Let
be the current through coil 1 and 
be the current through coil 2.
Then, the mutual inductance (m) is given by:
The SI unit is Henry(H).
(b) Consider that two straight infinite parallel conducting wires with current
and 
are separated by a distance x', then force per unit length of each wire is given by ;
such that, when the wires carry currents in the opposite direction, they repel and when the wires carry currents in the same direction, they attract.
Such that,
and 
must be equal. So, they can cancel out.
Now,
Hence, the total force acting on the loop will be -