the capacities of 3 capacitors are in the rtio 1:2:3 .their equivalent in parallel is greater than their equivalent capacity in series by 60/11 pF .caculate their individual capacitances?

Asked by Subhashree Lenka | 16th May, 2015, 12:29: PM

Expert Answer:

begin mathsize 14px style 1 over straight C subscript straight s equals 1 over straight x plus fraction numerator 1 over denominator 2 straight x end fraction plus fraction numerator 1 over denominator 3 straight x end fraction equals fraction numerator 11 over denominator 6 straight x end fraction straight C subscript straight s equals fraction numerator 6 straight x over denominator 11 end fraction straight C subscript straight p equals straight x plus 2 straight x plus 3 straight x equals 6 straight x straight C subscript straight p minus straight C subscript straight s equals 6 straight x minus fraction numerator 6 straight x over denominator 11 end fraction 60 over 11 equals 6 straight x open square brackets 1 minus 1 over 11 close square brackets 60 over 11 equals 6 straight x cross times open square brackets 10 over 11 close square brackets 60 over 11 cross times open square brackets 11 over 10 close square brackets equals 6 straight x 60 over 10 equals 6 straight x 6 equals 6 straight x straight x equals 1 end style
Therefore, their individual capacitances are begin mathsize 14px style 1 μF comma space 2 μF comma space 3 μF end style

Answered by Faiza Lambe | 17th May, 2015, 12:01: PM