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**1. Homework Statement**

If the input AC voltage amplitude is Vo and the angular frequency w, find the impedance of the circuit below and the amplitude of the current that the generator provides. What is the behavior of the circuit at very low and at very high frequencies?

This is a circuit with AC source connected to a resistor R that is in series with a resistor R' and capacitor C that are in parallel. No values are given.

**2. Homework Equations**

Z(w) = f(w) + j*g(w)

|Z(w)| = sqrt(f^2(w) + g^2(w))

Vo = Io(w) * Z(w)

f(w) = ?, g(w) = ?

**3. The Attempt at a Solution**

Z(w) = R + (1/R' + jwC)^-1

Z(w) = R + ( (1 + R'jwC) / R' )^-1

Z(w) = R + R' / (1 + R'*jwC)

I'm stuck after this point; I can't think of any algebra that lets me isolate a function that ends up as f(w) + j*g(w). Help?