SATHEE: Electrostatic Potential and Capacitance

Electrostatic Potential and Capacitance - Result Question 38

40. A capacitor $C_{1}$ is charged to a potential difference $V$ . The charging battery is then removed and the capacitor is connected to an uncharged capacitor $C_{2}$ . The potential difference across the combination is

[2002]

(a) $\frac{V C_{1}}{(C_{1} + C_{2})}$

(b) $V (1 + \frac{C_{2}}{C_{1}})$

(d) $\frac{V C_{2}}{(C_{1} + C_{2})}$

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Answer:

Correct Answer: 40. (a)

Solution:

(a) Charge $Q = C_{1} V$

Total capacity of combination (parallel)

$C = C_{1} + C_{2}$ P.D. $= \frac{Q}{C} = \frac{C_{1} V}{C_{1} + C_{2}}$

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Electrostatic Potential and Capacitance - Result Question 38

40. A capacitor C1 is charged to a potential difference V. The charging battery is then removed and the capacitor is connected to an uncharged capacitor C2. The potential difference across the combination is

Answer:

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40. A capacitor $C_{1}$ is charged to a potential difference $V$ . The charging battery is then removed and the capacitor is connected to an uncharged capacitor $C_{2}$ . The potential difference across the combination is