In the question number 42, the time lag between the current maximum and the voltage maximum is
In the question number 42, the time lag between the current maximum and the voltage maximum is
A. `15.5 ms`
B. 155 ms
C. `1.55 ms`
D. `1.55 s`
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Correct Answer - C
In series RC circuit voltage lags behind the current by phase angle `phi`.
Then, `tan phi = (X_(C ))/(R )=(1//omega C)/(R )=(1)/(omega CR)=(1)/(2pi upsilon CR)`
`tan phi = (1)/(2pixx60xx10^(-4)xx40)`
`tan phi=(0.6634), phi = tan^(-1)(0.6634)`
`=33.56^(@)=33.56xx(pi)/(180)` rad
`therefore` Time lag, `Delta t = (phi)/(omega) = (180)/(120 pi)=1.55xx10^(-3)s " " [because omega 2pi upsilon = 120 pi)`
`= 1.55 ms`
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