Physics

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A 80.0 Hz generator with an rms voltage of 150 V is connected in series to a 3.20 k ohm resistor and a 3.50 micro farad capacitor. Find the phase angle between the current and the voltage.

  • Physics -

    f=80 Hz, V=150V, R=3200 Ω, C=3.5•10⁻⁶ F

    ω=2πf =2π•80=160π(rad/s)
    ω²=1/T² =1/(2π)²LC =>
    L=1/(2π ω)²C= ....
    X(L) =ωL= ...
    X(C) =1/ωC= ...
    tan φ=(X(L) –X(C))/R = ...

  • Physics -

    Xc = 1/2pi*F*C = 1/(6.28*80*3.5*10^-6) =
    569 Ohms

    Z=R-jXc = 3200 - j569=3250 Ohms[-10.1o]
    The negative impedance angle means the
    circuit is capacitive and the current leads the applied voltage by 10.1o.

    Tan A = Xc/R = -569/3200 = -0.17772
    A = -10.1o

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