Two capacitors of unknown capacitances
and
are connected first in series and then in parallel across a battery of 100 V. If the energy stored in the two combinations is 0.045 J and 0.25 J respectively, determine the value of
and
. Also calculate the charge on each capacitor in parallel combination.
When the capacitors are connected in parallel.
Equivalent capacitance, ![]()
The energy stored in the combination of the capacitors,
![]()
![]()
------ (i)
When the capacitors are connected in series.
Equivalent capacitance ![]()
The energy stored in the combination of the capacitors,
![]()
![]()
From equation (i)
![]()
![]()
![]()
-------------- (ii)
Solving (i) and (ii), we get;
![]()
When capacitors are connected in parallel, the charge on each of them can be obtained as follows:
![]()
![]()
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.