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In LCR circuit at resonance current in t...

In `LCR` circuit at resonance current in the circuit is `10 sqrt(2) A`. If tnow frequency of the source is changed such that now current lags by `45^(@)` that applied voltage in the circuit . Which of the following is correct.

A

Frequency must be increased and current after the change is `10 A`

B

Frequency must be decreases and current after the change is `10 A`

C

Frequency must be decreased and current is same as that of initial value

D

The given information is insufficient to conclude anything

Text Solution

Verified by Experts

The correct Answer is:
A
At resonance `X_(L) = X_(C )` in `LCR` circuit at resonance current
`I_("rms") = (V_("rms"))/(R ) = 10 sqrt(2)` ….(i)
When current lags by `(pi)/(4) : (R = X)`
`I_("rms") = (V_("rms"))/(sqrt(R^(2) + X^(2))) (V_("rms"))/(sqrt(2) R) = 10 A`
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  • In an LCR a.c. circuit at resonance, the current

    A
    Is always in phase with the voltage
    B
    Always leads the voltage
    C
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  • In an LCR series circuit the current is

    A
    in phase with applied emf
    B
    lags the applied voltage
    C
    lead the applied voltage
    D
    may lead or lag behind the applied voltage

  • In LCR series AC circuit, the current

    A
    is always in phase with voltage
    B
    always lags behind the generator voltage
    C
    always leads the generator voltage
    D
    may be in phase, lag behind or lead by the generator voltage depending on the values of L,C and R

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