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Frequency of Oscillations in LC Circuit

29.Two capaci...

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29.Two capacitors C1 and C2 of unknown capacitance are connected first in series and then in parallel across a battery of 100V. If the energy stored in the 2 combinations is 0.045J and 0.25J respectively, determine the values of C1 and C2. Also determine the charge on each capacitors in parallel combination

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Q. Two capacitors of unknown capacitances

C_{1}

C_{2}

are connected first in series and then in parallel across a battery of 100V. If the energy stored in two combinations is 0.045 J and 0.25 J respectively, determine the value of

C_{1}

C_{2}

. Also calculate the charge on each capacitor in parallel combination.

Q. Effective capacitance of parallel combination of two capacitors

C_{1}

C_{2}

10 μ F

. When these capacitors are individually connected to a voltage source of

1 V

, the energy stored in the capacitor

C_{2}

4

C_{1}

. If these capacitors are connected in series, their effective capacitance will be:

Q. Consider the combination of

2

C_{1}

C_{2}

C_{2} > C_{1}

. When connected in parallel, the equivalent capacitance is

\frac{15}{4}

times the equivalent capacitance of the same capacitors connected in series. Calculate the ratio of capacitors,

\frac{C_{2}}{C_{1}}

Q. A capacitor of capacity

C_{1}

, is charged by connecting it across a battery of emf

V_{o}

. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity

C_{2}

. The potential difference across this combination is

Q. Two capacitors with capacitance values

C_{1} = 2000 \pm 10 pF

C_{2} = 3000 \pm 15 pF

are connected in series. The voltage applied across this combination is

V = 5.00 \pm 0.02 volt

. The percentage error in the calculation of the energy stored in this combination of capacitors is

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