SATHEE: Electrostatic Potential and Capacitance

Electrostatic Potential and Capacitance - Result Question 33

35. Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be

[2009]

(a) $3 C, \frac{V}{3}$

(b) $\frac{C}{3}, 3 V$

(d) $\frac{C}{3}, \frac{V}{3}$

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Answer:

Correct Answer: 35. (b)

Solution:

(b) In series combination of capacitors

$V_{eff} = V + V + V = 3 V$

$\frac{1}{C_{e f f}} = \frac{1}{C} + \frac{1}{C} + \frac{1}{C}$

$\Rightarrow C_{e f f} = \frac{C}{3}$

Thus, the capacitance and breakdown voltage of the combination will be $\frac{C}{3}$ and $3 V$ .

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Electrostatic Potential and Capacitance - Result Question 33

35. Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be

Answer:

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35. Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be