A series combination of
n1 capacitors each of capacitance
C1 are connected to
4V source as shown in the figure.
Total capacitance of the series combination of the capacitors is
=+++⋯...... upto
n1 terms
= or
Cs= Total energy stored in a series combination of the capacitors is
us=Cs(4V)2 =()(4V)2 (using (i))...(ii)
A parallel combination of
n2 capacitors each of capacitance
C2 are connected to
V source as shown in the figure.
Total capacitance of the parallel combination of capacitors is
Cp=C2+C2+....+ upto
n2 terms
=n2C2 or
Cc=n2C2 .......(iii)
Total energy stored in a parallel combination of capacitors is
up=CpV2 =(n2C2)(V)2 (Using (iii))...(iv)
According to the given problem,
Us=Up Substituting the values of
us and
up from equations (ii) and (iv), we get
(4V)2=(n2C2)(V)2 or
=n2C2 or
C2=