(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the electric field is E and

div.ξ=ρ/ϵ_0

where

ξ=-dV/dx

show that the capacitance is

C=(ϵ_0 A)/d

because i dont know how to type it i'm representing ξ with E for the electric field

3. The attempt at a solution

I've done this as two two bits

if E=-dV/dx i've said E=v/d

and div.ξ=ρ/ϵ_0

dE/dx=ρ/ϵ_0

E=(sigma)/ϵ_0 (integral) dirac function

E=sigma/ϵ_0

sigma/ϵ_0 =Q/Aϵ_0

Q/Aϵ_0=V/d

C=Aϵ_0/d

i'm wondering if i've got this right, sorry if its hard to follow

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# Homework Help: Capacitance homework

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