Capacitors are of mainly three types:
(I) Parallel Plate Capacitor
(II) Spherical Capacitor
(III) Cylindrical Capacitor
(I) PARALLEL PLATE CAPACITOR
In consists of two parallel metallic plates divided by a small distance
A = Effective overlapping area of each plate
d = Separation between the plates
Q = Magnitude of charge on the inner side of each plate
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V = Potential difference across the plates
E = Electric field between the plates
Capacitance : C = εoA/d ;
If a dielectric phase of dielectric constant K is filled completely between the plates then capacitance increases by K times C' = KC
(II) SPHERICAL CAPACITOR
It consists of two concentric conducting spheres of radii a and b (a < b). Inner sphere is given charge +Q, while outer sphere is earthed
Capacitance : C = 4πεo.ab/b-a ;
In the relation of dielectric phase (dielectric constant K) between the spheres
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Special Case : If outer sphere is given a charge +Q while inner sphere is earthed
Induced charge on the inner sphere
This arrangement is not a capacitor. But its energy is equivalent to the sum of capacitance of spherical capacitor and spherical conductor i.e.
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(III) CYLINDRICAL CAPACITOR
It consists of two concentric cylinders of radii a and b (a <b), inner cylinder is given charge +Q while outer cylinder is earthed. Common length of the cylinders is l then
Capacitance :
In the relation of dielectric phase (dielectric constant K) capacitance increases by K times and
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