InterviewSolution
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InterviewSolution
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A capacitor has a resistance of `1200 M Omega` and capacitance of `22 mu F`. When connected to an a.c. supply of frequency 80 hertz, then the alternating voltage supply requried to drive a current of 10 virtual ampere isA. `904 sqrt(2) V`B. `904 V`C. `904 sqrt(2) V`D. `452 V` |
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Answer» Correct Answer - 2 `f = 80 Hz, I_(V) = 10 A` Current through `R, I_(R ) = (E_(V))/(R ) = (E_(V))/(12 xx 10^(8))` current through `C I_(C) = (E_(V))/(X_(C)) = 2 pi fC xx E_(V)` `2 pi xx 80 xx 22 10^(-6) xx E_(V)` `= 352 pi xx 10^(-5) xx E_(V)` `I_(V)^(2) = I_(R )^(2) + I_(C )^(2)` `(10)^(2) (E_(V)^(2))/((12 xx 10^(8))^(2)) + (352 xx 10^(-5) xx E_(V))^(2)` `= E_(V)^(2) ((1)/(144 xx 10^(16)) + 1.2 xx 10^(-4))` `E_(V)^(2) = (100 xx 10^(4))/(1.2) E_(V) ~~ 904` volt |
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