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Define self-inductance of a coil. Obtain the expression for the energy stored in an inductor L connected across a source of emf.

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Self induction is that phenomenon in which a change in electric current in a coil produces an induced emf in the coil itself. MATHEMATICAL REPRESENTATION: Self induced emf in a coil is directly proportional to the rate of change of electric current in the coil.i.e. Emf a – DI/Dt Or emf...
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Self induction is that phenomenon in which a change in electric current in a coil produces an induced emf in the coil itself.
MATHEMATICAL REPRESENTATION:
Self induced emf in a coil is directly proportional to the rate of change of electric current in the coil.i.e.

Emf a – DI/Dt

Or emf = -L DI/Dt

Where, L = self inductance of the coil.

SELF INDUCTANCE
Self inductance of a coil is defined as the ratio of self-induced emf to the rate of change of current in the coil.
Self inductance = emf/ DI/Dt

It is denoted by ‘L’ and it depends upon the physical characteristics of the coil.

Unit of self inductance is Henry.

 

 

HENRY
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The self inductance of a coil is one henry if a current change of one ampere per second through it produces an emf of one volt in it.

1 henry = 1volt/1amp/sec

EXPLANATION OF SELF INDUCTION
 

Consider a coil connected to a battery through a rheostat as shown in figure. The current through the coil produces a magnetic flux which links with the coil itself. If we vary the resistance in the circuit, the current through the coil changes and the magnetic flux through the coil also change. This change in flux indicates an emf in the coil itself. Such an emf is called self-induced emf and the phenomenon is called self induction.

    
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