MONGU COLLEGE

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A resistor of 15 ohms and an inductor of 4H and capacitor of 25 micro F are connected in series across 230V AC supply calculate.

a.The frequency
b.current
c.voltage drop or pd across inductance.

  • MONGU COLLEGE -

    I cannot calculate the freq. unless the reactance of the inductor or capacitor is given. I will assume a 230v.- 60 Hz supply.

    a 60 Hz.

    b. Xl = 2pi*F*L = 6.28*60*4 = 1508 Ohms.
    Xc = 1/(2p*F*C) = 1/(6.28*60*25*10^-6=
    106 Ohms.
    Z = R + j(Xl-Xc)
    Z = 15 + j(1508-106)
    Z = 15 + j1402 = Rectangular form.

    tanA = Xl/R = 1402/15 = 93.5
    A = 89.4o
    Z = Xl/sinA = 1402/sin89.4=1402.1 Ohms
    @ 89.4o = Polar form.
    I = V/Z = 230/1402.1=0.164A @ (-89.4o)

    c. V = I * Xl = 0.164 * 1508 = 247.3 V.

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