IV- Circuits
#1. (10 points) Consider the circuit shown below with AC input of frequency w from an ideal voltage source with phasor V in .
a. Write down the expression for the transfer function V out /V in as a function of w , and the values of capacitance, inductance and resistance.
b. What is the value of the transfer function for DC input voltage?
c. What is the value of the transfer function limit of very high frequencies?
d. Consider a load of impedance Z L attached to the output terminals. What is the impedance of the load that maximizes the power transfer to the load?
e. Sketch a circuit that could be used to maximize the power factor of the matched load, and quantify the values of the additional circuit elements in terms of L, C, R, and w .
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