IF the amount of water is added in any pot then the level of liquid in the container increases and water will be accumulated in the container up to a certain level after wards it will overflow. similarly if change is given to any conductor then it’ s level of charging or say potential will increase . More the charge more the potential.
Thus we can conclude potential of any conductor and amount of change present on the conductor and proportional to each other. If we give ‘Q’ change to any conductor and increase in it’s potential is V then
Q =VC Where, C is the electric capacity of the conductor . or Capacitance of the
conductor of the conductor
CAPACITY OF ANY CONDUCTOR IS CONSTANT WHICH DEPENDS ON -->
(1) Shape of the conductor (3) Medium around the conductor.
(2) Area of the conductor. (4) Presence of any other conductor close to the charged conductor
(ii) If V =Unit increase in potential
DEFINITION OF ELECTRIC CAPACITY =>
Electric capacity of any conductor is the ratio of charge given to the conductor and increase in the potential of the conductor. OR . Electric capacity of any conductor is numerically equal to the amount of charge required to increase its potential by unit.
Unit of capacity— C=Q/V 1 Farad =106 Micro Farad 1 Micro Farad= 10-6 Farad
1 Farad=1012 Pico Farad 1 Pico Farad =10-12 Farad
Definition of One Farad =>If the increase in potential of any conductor is one volt due to the charge of one coulomb then the capacity of the conductor will be one Farad .
CAPACITY OF ANY ISOLATED SPERICAL CONDUCTOR
Consider any spherical conductor having radius ‘R’ center ‘O’ and charge given will be uniformly distributed over the surface of the conductor so its surface will be equipotent surface and electric lines of force will be along the radius now potential on the conductor will be V-