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Two capacitors of unknown capacitances C1  and C2  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 C1  and C2. Also, calculate the charge on each capacitor in parallel combination.


When the capacitors are connected in parallel, 

Equivalent resistance,  

Energy stored in capacitors, E 


When the capacitors are connected in series,




Putting this in equation (2), we get 

C2 = 50 – 11.2 = 38.2 μF

The charge on capacitor is given by, Q = CV

Charge on capacitor 1, C1

Charge on capacitor 2, C2

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