Types of Capacitor Assignment Help

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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

1568_types of capicator.png

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 2384_types of capicator2.png

2128_types of capicator1.png

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.

671_types of capicator4.png

945_types of capicator3.png

(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 : 1558_types of capicator6.png

In the relation of dielectric phase (dielectric constant K) capacitance increases by K times and  76_types of capicator7.png

657_types of capicator5.png

 

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