A circuit containing a 80 mH inductor and a 60 `muF` capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible.
(a) Obtain the current amplitude and rms values.
(b) Obtain the rms values of potential drops across each element.
(c) What is the average power transferred to the inductor?
(d) What is the average power transferred to the capacitor?
(e) What is the total average power absorbed by the circuit? [‘Average’ implies ‘averaged over one cycle’.]

Explanation

(i) `V_(L) = I_(rms) X_(L)`
`= I_(rms) xx 2pi fL`
`:. V_(L) = ( 8.225) ( 2) ( 3.14) ( 50) ( 80 xx 10^(-3)) `
`:. V_(L) = 206.6 `Volt
(ii) `V _(C ) = I_(rms) X_(C 0`
`= I_(rms) xx (1)/( 2pi fC)`
`= 8.225 xx (1)/( 2 xx 3.14 xx 50 xx 60xx 10^(-6))`
`:. V_(C ) = 436.6` Volt