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A network of four 20 muF capacitors is c...

A network of four 20 `muF` capacitors is connected to a 600 V supply as shown in the figure.
The equivalent capacitance of the network is

A

`30.26 muF`

B

`20muF`

C

`26.67muF`

D

`10 muF`

Text Solution

Verified by Experts

The correct Answer is:
C
Form the figure `C_(1),C_(2),C_(3)` are connected in series.
`therefore (1)/(C_(s)) = (1)/(C_(1)) + (1)/(C_(2)) + (1)/(C_(3))" "……(i)`
`= (1)/(20) +(1)/(20)+(1)/(20) = (3)/(20) muF`
`or C_(s) = (20)/(3)muF`
Now `C_(s)` is in parallel with `C_(4)`
`therefore ` equivalent capacitance, ` C_(eq) = C_(s) + C_(4) = (20)/(3) + 20 = (80)/(3) = 26.67 muF`
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