
Consider a series combination of
3 condensers C_{1}, C_{2}, C_{3} with potential
difference across each of them V_{1}, V_{2}, V_{3}
respectively.
If total potential difference, = V,
Then V = V_{1} + V_{2} + V_{3}
C =

Q


V


Þ V =

Q


C


\

Q


C


=

Q


C_{1}


+

Q


C_{2}


+

Q


C_{3}


1


C


=

1


C_{1}


+

1


C_{2}


+

1


C_{3}


In general, for a series combination of n condensers of capacities C_{1},
C_{2}, … , C_{n}, the
effective capacitance
1


C


=


Parallel combination
In a parallel combination of condensers (of capacities C_{1},
C_{2}, C_{3}) the potential difference across them is
the same.
The total charge of the combination is the sum of the charges on the
individual condensers.


Q = Q_{1} + Q_{2} + Q_{3}
But Q =
CV \

CV = C_{1}V + C_{2}V + C_{3}V

\

C = C_{1} + C_{2} + C_{3}

The resultant capacitance is equal to the sum of their individual
capacities.
In general, for a parallel combination of n condensers of capacities C_{1},
C_{2},…, C_{n} the
equivalent capacity
C =



