Question

from where E=V/L formula is derrive​

Answer 1

Explanation:

One of the formulas I came across while doing problems with simple parallel plate capacitors was E = V/d, where E is the magnitude of the electric field between the plates, V is the potential difference between the plates, and d is the separation of the plates. I'm wondering where this formula is derived from. I know that the electric field between the two plates of a capacitor is constant (except near the edges), but am not sure how that would play into the explanation

Source https://www.physicsforums.com/threads/derivation-for-e-v-d-capacitors.602899/.

Answer 2

Explanation:

We know that,

E = F/q

V = E/q

W = Fd

So by substitution, W = Eqd

I want to get to E = V/d so I'll solve for E...

E = W/qd

So W/q = E/q

And by the work energy theorem, W = delta E, and the voltage in E = V/d is in fact a potential difference.

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