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Physics Help

jmcoreymv

Diamond Member
Trying to do some of my capacitance homework and the only one im not sure about is this:
A parallel plate capacitor has a charge Q and plates of area A. Show that the force exerted on each plate by the other is F=Q^2/(2*Eo*A) (hint: let C=Eo*A/x for an arbitrary plate separation x; then require that the work done in separating the two charged plates be W=integral(F dx)

Any help is appreciated, thanks.
 
^ for you as I did Physics a-level and found it DAM interesting!

I can remember doing something like this but can't now 🙁
 
Wooh! I figured it out...feels good
U=Q^2/(2C) then sub in Eo*A/x for C and you get
U=x*Q^2/(2*Eo*A)
We know that the derivative of energy is force with respect to distance so
U'=F=Q^2/(2*Eo*A) 🙂
 
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