Question

expression for Energy stored in a coil of self induction L is equal to​

Answer 1

Self-inductance is the property by which an opposing induced emf is produced in a coil due to a change in current or magnetic flux, linked with the coil.

Self-inductance of a coil is numerically equal to the flux linked with the coil when the current through the coil is 1 A.

Energy stoted in an inductor:

Consider a source of emf connected to an inductor L. As the current starts growing the opposing induced emf is given by

If the source of emf flows a current i through the inductor for a small time dt, then the amount of work done by the source is given by

Hence the total amount of work done (by the source of emf) when the current increases from its initial value (i = 0) to its final value I is given by

This work done gets stored in the inductor in the form of energy.