Discussion Forum



1)

Five capacitors each of capacity C are connected as shown in the figure. If their resultant  capacity is 2 $\mu$ F, then the capacity  of each  condenser is 

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A) 5 $\mu$ F

B) 2 $\mu$ F

C) 2.5 $\mu$ F

D) 10 $\mu$ F

Answer:

Option D

Explanation:

 Given, resultant capacity , Ceq  = 2 $\mu$ F

 The equivalent  capacity  of the circuit  is given by 

$\frac{1}{C_{eq}}=\frac{1}{C}+\frac{1}{C}+\frac{1}{C}+\frac{1}{C}+\frac{1}{C}$

                                    ($\because$  all capacitors are in series)

$\frac{1}{C_{eq}}=\frac{5}{C}$

$\frac{1}{2\mu F}=\frac{5}{C}$

 $\Rightarrow$      $ C=10\mu F$