Energy

Energy can be defined as the capacity of a physical system to perform or do work. In the context of electric circuits, energy w is related to power by relationship stated below
 

That is, power is rate of change of the energy.

By using Equation stated above, voltage can be written in terms of energy as work done or energy supplied per unit charge that is
 

In terms of the 3 passive circuit elements, R, L and C, the energy relationships is derived as follows

Resistor
 
Electrical power or energy supplied to the resistor is completely dissipated as heat. This action is irreversible and is commonly termed as i²R losses.

Inductor
   
Total energy supplied from to 0 to t is
 

This energy is stored in magnetic field of inductor which can be supplied back to circuit when the actual source is removed.

Capacitor
 
Total energy supplied from 0 to t is stated below
    

This energy is stored in electric field of capacitor which is supplied back to circuit when the actual source is removed.

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