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Question

# Three capacitors of capacitances 1μF, 2μF and 4μF are connected first in a series combination, and then in a parallel combination. The ratio of their equivalent capacitances will be:

A
2:49
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B
49:2
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C
4:49
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D
49:4
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Solution

## The correct option is B 4:49Equivalent capacitance in series is reciprocal of sum of reciprocals of individual capacitances. ⇒1CS=11+12+14So, the series equivalent is 47μF.In parallel, equivalent capacitance is the sum of individual capacitances. ⇒CP=1+2+4So, the parallel equivalent is 7μF.Thus, the ratio is 449.

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