Energy Stored In A Solenoid
Energy stored in a Coil or Solenoid
As nosotros know, work has to be washed against the back emf in establishing the electric current through an inductor. This work done is stored every bit magnetic potential free energy in the coil (inductor). The rate of work when a current I flows through the inductor is given by
Therefore, dW = LIdI
Total amount of work done in establishing the current I is W = ∫ dw = ∫0 I LIDI
By integrating it, we get w=ane/2 LI2
Therefore, magnetic potential free energy in southward inductor (solenoid) is given by 
The self inductance if a solenoid is L= μ 0northward2 Al
Al is the volume of the solenoid. Therefore, the energy density (energy per unit volume) is given 
This relation has been derived for a solenoid only it is general and valid for whatsoever region of space in which a magnetic field exists.
Recollect that the electrostatic energy stored per unit volume in a parallel plate capacitor is given past 
It should be noted that in both the cases energy is proportional to the square of the field strength. Both are general relations.
NOTE :
If electric currents are flowing simultaneously in two nearby coils, the flux linked with one coil volition exist the sum of two fluxes which be independently in two coils. Therefore, total flux linkages with ringlet Ten is given by (Encounter figure 16)
CBSE Electromagnetic Induction ( With Hint / Solution)
Form XII (By Mr. Ashis Kumar Satapathy)
email - [email protected]
Electromagnetic Induction
Energy Stored In A Solenoid,
Source: https://www.cbseguess.com/ebooks/xii/physics/energy-stored-in-coil-solenoid.php
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