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Find the values of the phase difference ...

Find the values of the phase difference between the current and the voltage in the series LCR circuit shown below, which one leads in phase: current or voltage?

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Calculatioin of phase difference between curren and voltage Name of quantity which leads.
`X_(L)=omegaL=(1000xx100xx10^(-3))Omega=100Omega`
`X_(c)=1/(omegaC)=(1/(1000xx2xx10^(6)))Omega=5000 Omega1`
Phase angle
`tan varphi=(X_(L)xxX_(C))/R`
`tanvarphi=(100-500)/400=-1`
`vaphi=-(pi)/4`
As `X_(C)gtX_(L)` (phase angle is negative) hence current leads voltage.
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(i) Find the value of the phase difference between the current and the voltage in the series LCR circuit shown below. Which one leads in phase : current or voltage ? (ii) What making any other change, find the value of the additional capacitor C, to be connected in parallel with the capacitor C, in order to make the power factor of the circuit unity.

Find the phase difference between voltage and current.

Knowledge Check

  • The phase difference between the current and voltage of a LCR series a.c. circuit at resonance is

    A
    0
    B
    `pi/2`
    C
    `pi/4`
    D
    `pi`

  • The phase difference between voltage and current in an LCR series circuit is

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    zero always
    B
    `pi//4` always
    C
    `pi`
    D
    between 0 and `pi//2`

  • The phase difference between the current and voltage of LCR circuit in series combination at resonance is

    A
    `0`
    B
    `pi//2`
    C
    `pi`
    D
    `-pi`

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