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Consider an inductor of inductance L being connected with a DC voltage supply. If the amount of current flowing through the circuit is I then the energy stored in the inductor is given as:
Now, let us consider a solenoid, whose inductance is given by,
The magnetic field of the solenoid is given by, B=μ0nI. Now the energy stored is given by,
Here, Al =Volume of the solenoid. Now the energy stored per unit volume in the magnetic field surrounding the inductor is given by,
The above expression is valid for any region of space in which a magnetic field exists.
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Electromagnetism