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(a) Define the term ‘self inductance’ of a coil. Write its S.I. unit.
(b) A rectangular loop of sides a and b carrying current is kept at a distance ‘a’ from an infinitely long straight wire carrying current
as shown in the figure. Obtain an expression for the resultant force acting on the loop.
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Self-inductance (L) is the emf induced in the coil when the rate of change of current in the coil is
ampere/second
Where
= magnetic flux
Where
= coefficient of self- inductance or self-inductance of the coil
when,
Then,
The S.I unit of self-inductance is Henry (H).
(b) We know the magnetic field due to the infinitely long current-carrying wire is given by :
Where,
Now, the force acting on a straight wire is given by,
For side AB
in -ve x-direction.
Such that, for BC and AD forces are equal but opposite in direction so, they will cancel out each other.
Now, for side CD
Hence, the net force will be in -ve x-direction ,