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In the series LCR circuit as shown in fi...

In the series LCR circuit as shown in figure, the heat developed in 80 seconds and amplitude of wattless current is :

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The correct Answer is:
A

`Z=sqrt(R^(2)+(X_(L)-X_(C))^(2))=sqrt((4)^(2)+(7-4)^(2))=5 Omega`
`i_(0)=(25)/(5)=5` amp
`H_(AC)=i_("max").^(2)RT=(125xx4xx80)/(2)=4000J`
`cos phi=(R)/(Z)=(4)/(5)` so `phi=37^(@)`
Wattless current
`rArrI_(rms) sin phi=3A`
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Knowledge Check

  • In LCR circuit as shown in figure

    A
    current will lead the voltage
    B
    rms value of current is 20A
    C
    power factor of circuit is `(1)/(sqrt2)`
    D
    voltage drop across resistance is 100V

  • In a series LCR circuit

    A
    the voltage `V_(L)` across the inductance leads the current in the circuit by a phase angle of `pi//2`
    B
    the voltage `V_(C )` across the capacitance lags behind the current by a phase angle of `pi//2`
    C
    the voltage `V_(R )` across the resistance is in phase with the current
    D
    the voltage across sereis combination of `L`, `C` and `R` is `V = V_(L) + V_(C ) + V_(R )`

  • In series LCR circuit at resonance

    A
    Power factor is zero
    B
    Power developed across the resistor is maximum
    C
    Power developed across the inductor is zero
    D
    Both (2) & (3)

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