Derive an expression for the ratio of the output voltage over the
input voltage, Vout/Vin, in the circuit shown in Figure 1, in terms of
the resistances, R1 and R2, the capacitances, C1 and C2, and the
frequency, omega, of the input signal. Use complex representation of the
impedances in the circuit and, thus, express the ratio, Vout/Vin, as a
complex number.
As I can't import images into Google Answers, I'll try my best to
explain what figure 1 is meant to be... A function generator connected
to two "components" in series with the output Vout across the first
"component" (Vin = V0 Sin('omega't)). Each "component" is simply a resistor
and a capacitor in parallel (R1 and C1 in parallel, and R2 and C2 in
parallel). |