A low-pass filter consists of a 114μF capacitor in series with a 155Ω resistor. The circuit is driven by an AC?

A low-pass filter consists of a 114μF capacitor in series with a 155Ω resistor. The circuit is driven by an AC

Part A

What is the crossover frequency fc?

fc =

Part B

What is Vc when f=1/2 fc?

Part C

What is Vc when f=fc?

1 Answer

  • A) fc = 1/(2*pi*R*C) = 9 Hertz

    C) when f= fc, Vc = 0.707(V in)

    This is because Xc = R

    Vc = (V in)(jXc/(R + jXc) = (V in)(j/(1+j)

    |Vc| = |V in|(1/(sqrt 2) = 0.707 Vin

    B) when f = 1/2(fc), Vc = 0.89(V in)

    Xc = 2R

    Vc = (V in)(j2/(1 +j2)

    |Vc| = |V in|(2/(sqrt 5) = 0.89(V in)

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