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physics

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A sinusoidal voltage Δv = (65 V) sin (140t) is applied to a series RLC circuit with L = 100 mH, C = 175 μF, and R = 42 Ω.
(a) What is the impedance of the circuit?

  • physics - ,

    R = 42 Ohms.
    Xc = 1/W*C = 1/(140*175*10^-6)=40.8 Ohms
    Xl = W*L = 140*100*10^-3 = 14 Ohms.

    Z^2 = R^2 + (Xl-Xc)^2 = 2482.24
    Z = 49.82 Ohms.

    tanA = (Xl-Xc)/R = (14-40.8)/42=-0.63810
    A = -32.54o = Phase angle.

    Z = 49.82 Ohms @ -32.54o.

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