A capacitance of 2 μF is required in an electrical circuit across… - Vidyadip

MCQ

A capacitance of $2\ μF$ is required in an electrical circuit across a potential difference of $1.0\ kV$. A large number of $1\ μF$ 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

A
$1$
B
$16$
C
$24$
✓
$32$

✓

Answer

Correct option: D.

$32$

d
To get a capacitance of $2\, \mu \mathrm{F}$ arrangement of capacitors of capacitance $1\, \mu \mathrm{F}$ as shown in figure $8$ capacitors of $1\, \mu \mathrm{F}$ in parallel with four such branches in series i.e., $32$ such capacitors are required.

$\frac{1}{C_{e q}}=\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8} \quad \therefore C_{e q}=2\, \mu F$

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