1.

Does the current in an a.c circuit lag lead or remain in phase with the applied voltage. When (i)gamma=gamma_(r)(ii)gammaltgamma_(r)(iii)gammagtgamma_(r)." Where "gamma_(r) is the resonant frequency ?

Answer»

Solution :i. `gamma=gamma_(R)" occurs when "X_(L)=X_(C).` Then the circuit becomes purely RESISTIVE. So current and voltage will be in same PHASE.
ii. `X_(L)=2pigammaLandX_(c)=(1)/(2pigammac)`
When `gammaltgamma_(r),X_(L)" is small and "X_(C)` is large the circuit is capacitive, so current leads the voltage in phase.
The circuit is inductive. So current LAGS behind the VOTAGE in phase.


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