Consider the RLC circuit in Figure 7.15 where R = 1­Î©.

(a) Determine the values of the inductor and the capacitor so that the transfer function of the circuit when the output is the voltage across the capacitor, v₀(t), is

(b) Find the transfer function of the circuit, with the values obtained above for the capacitor and the inductor, when the output is the voltage across the resistor. Carefully sketch the corresponding frequency response and determine the type of filter it is.

(c) What type of filter would we obtain by considering the output the voltage across the inductor and the capacitor obtained before? Find the corresponding transfer function.

Figure 7.15:

Transcribed Image Text:

V.(s) V;(s) s? + /2s + 1 R= 1 N ww v;(t)