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Question
Two capacitors each having capacitance C and breakdown voltage V are joined in series. The capacitance and the breakdown voltage of the combination will be
Options
2 C and 2 V
C/2 and V/2
2 C and V/2
C/2 and 2 V.
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Solution
C/2 and 2 V.
Since the voltage gets added up when the capacitors are connected in series, the voltage of the combination is 2V.
Also, the capacitance of a series combination is given by
`1/C_"net" = 1/C_1 + 1/C_2`
Here ,
C_net = Net capacitance of the combination
`C_1 = C_2 = C`
`therefore` `C_"net" = C/2`
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