Question

A number of capacitors each of capacitance 1μF and each one of which get punctured if a potential difference just exceeding 500volt is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance 2μF across which 3000 volt may be applied requires at least

• A. (a) 18 component capacitors
• A. (b) 36 component capacitors
• A. (c) 72 component capacitors
• A. (d) 144 component capacitors

Answer 1

(c)

Number of capacitors required in series =$\frac{3000}{500} = 6$

The capacitance of series combination. =$\frac{1}{6}\mu F$

To obtain a capacitor of 2μF, we should use 12 such combinations.

∴Total number of capacitors required = 12 x 6 = 72