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in Class 12 by kratos

Derive an expression for the capacitance of a parallel plate capacitor.

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by kratos
 
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Expression for the capacitance of a parallel plate capacitor :

(1) P and Q are two parallel plates of a capacitor separated by a distance of d.

(2) The area of each plate is A. The plate p is charged and Q is earth connected.

(3) The charge on P is + q and surface charge density of charge = σ

∴ q = Aσ

(4) The electric intensity at point x, E = |σ|/ε0

(5) Potential difference between the plates P and Q,

(6) Capacitance of the capacitor

Farads(In air)

Note : Capacity of a capacitor for with dielectric medium is C

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