Q19 of 31 Page 1

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:




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