where is energy stored in a capacitor????
Answers
Answer:
This is one everybody gets wrong.
For electrical engineers, it’s not their fault, it’s over their pay grade: Covariant formulation of classical electromagnetism
I think this question comes up, from time to time, to those few, insightful students introduced to the physics of a capacitor and an nice drawing on a white board.
I was’t the one, but I heard a smarter student ask whether the energy was in the field or in the displaced charge, a long time ago.
The short answer: the energy resides in both the electric field and the potential energy of the electric charge.
So, once again I looked up a scary and spooky equation in the integral calculus. After applying it to a capacitor, it gives me this:
1) The energy due of the electric field is simply the scaled square of the electric field strength added up over the volume of the capacitor.
Assuming the electric field is uniform over the volume of an air filled capacitor:
Energyfield=14πμ0E2
2) The energy due to the charge, displaced under an electrostatic potential is
Energycharge.potential=Qϕd
d is the distance between the plates, A is the area of each plate, \phi is the electric potential, \epsilon_0 is the permittivity of air or free space, Q is the total charge.
This result is just a fraction of what I pulled it out of the Wikipedia equation. The complete thing is a different way of expressing Maxwell’s 8 differential equations. So my extrapolation has as good a change of being correct as a professor making wild guesses.
As for the energy, Qϕd, you can’t say some of the energy “resides in the displaced charge”. The charge and potential are inextricably linked.
It would be just as wrong to say “some of the energy resides in the electric potential”, but you should instead say “some of the energy resides in the the charge-potential product.”
It’s physical location in space is, perhaps, not so well defined. Unfortunately, I hadn’t consider this until now.
Explanation:
HELLO MATE
ANSWER ⏬
✏️ Energy stored in a capacitor is electrical potential energy, and it is thus related to the charge Q and voltage V on the capacitor .
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