Question 372: Electrostatics & Capacitance

Question

A capacitance of 2 $\mu $F is required in an electrical circuit across a potential difference of 1.0 kV. A large
number of 1 $\mu $F capacitors are available which can withstand a potential difference of not more than 300 V.
The minimum number of capacitors required to achieve this is:

Accepted Answer

To get a capacitance of 2 ÃÂ¼F arrangement of capacitors of capacitance 1ÃÂ¼F as shown in figure
8 capacitors of 1ÃÂ¼F in parallel with four such branches in series i.e., 32 such capacitors are
required.
${1 \over {{C_{eq}}}} = {1 \over 8} + {1 \over 8} + {1 \over 8} + {1 \over 8}$
$ \Rightarrow $ ${1 \over {{C_{eq}}}} = {1 \over 2}$
$ \Rightarrow $ ${{C_{eq}} = 2}$

Answer

2

Answer

16

Answer

32

Answer

24

Electrostatics & Capacitance

A capacitance of 2 \mu F is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 \mu F capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is:

Choose the correct answer: