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Two capacitors of unknown capacitance...

Two capacitors of unknown capacitances `C_(1) and C_(2)` are connected first in series and then in parallel, across a battery of 100V. If the energy stored in the two combinations is 0.045 J and 0.25 J respectively determine the values of `C_(1) and C_(2)`. Also calculate the charge on each capacitor in parallel combination.

Text Solution

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`{:(R_(1)=4Omega" " R_(2)=9 Omega),(I_(1)=IA", " I_(2)=0.5 A),(E=IR+It" " I_(2)=0.5 A),(E=I(R+r)):}`
Substituting the values
`E=I(4+r)`
`E=(9+r)`
`4+r=(9+r) " " rArr 8r + 2r=9+r`
`r = 1 Omega`
Substituting in (i), `" " E = 1 (4+1) = 5V rArr " " r = 1 Omega E = 5V`
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