Capacitor and It's Expression (Electrostatics)
What is capacitor?
An arrangement for storing large amount of electric charge in small space is called capacitor.
Principal of capacitor :-
A capacitor works on the principal, "The capacity of an insulated charged conductor is increased appreciate by bringing near it an earth connected, unchanged conductor
Definition of capacitance :-
Capacitance of a conductor may be defined as the ratio of the electric charge on it to it's electric potential due to that charge
C=Q/V
Expression for parallel plate capacitor :-
Let the two plates are kept parallel to each other separated be a distance d and cross-sectional area of each plate is A.
We konw that,
C= Q/V
According to the gauss law, the electric field can be written as:-
Since we know that the capacitance is defined as V = Q/C, so capacitance can be rewritten as:-
• Some important board exam level question answers :-
Q. 1) Why capacitance becomes less in series combination ?
Ans:- In Series combination, the distance between the first and last conductors increases.
As C ∝ 1/d , capacitance decreases.
Q. 2) Define capacitance. Give its SI unit.
Ans:- Capacitance is defined as the ratio between charge on capacitor to its potential. If q is charge, V the potential, then C = q/V .
si unit of C = coulomb /volt =C/V or farad(f) .
Q. 3) why capacitance becomes more in parallel combination ?
Ans:- In parallel combination the effective surface area (A) of the conductor increases, As C ∝ A, the capacitance increases.
Q. 4) Can we give any desired amount of charge to a capacitor ?
Ans:- No, maximum charge given to a capacitor is limited by the dielectrics strength of the medium between the two plates of the capacitor.
Q. 5) Define the SI unit of capacitor ?
Ans:- 1 Farad capacitor, when changed with 1 coulomb of electric charge, has a potential difference of 1 volt between it's plates.
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