Monday 23 December 2013

ELECTRIC CAPACITY - XII Notes- with numericals

ELECTRIC CAPACITY - XII Notes- with numericals

ELECTRIC CAPACITY - XII Notes- with numericals

 ELECTRIC   CAPACITY

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     V          
                        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

                                                              Q=CV
                         (i)                                  C=Q/V                          
                         (ii)     If   V =Unit increase in potential
                                                           
                                                             C=Q             

 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-




















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