Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV 1. Answer the following questions, showing your solutions where applicable. a. Find an expression for the complex gain, A b. Derive an expression for the cutoff frequency/ies of the circuit. (Hint: The cutoff frequency, w, is the frequency at which the output voltage is of the input voltage.) c. What is the expected behavior of the output as the frequency approaches ∞? When the frequency approaches 0? d. At what frequency will the voltage gain be at a maximum?

Introductory Circuit Analysis (13th Edition)
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+
R
VR
IR
Vs
Io
IL
Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV 1. Answer
the following questions, showing your solutions where applicable.
a. Find an expression for the complex gain, A =
b. Derive an expression for the cutoff frequency/ies of the circuit. (Hint: The cutoff
frequency, w, is the frequency at which the output voltage is of the input voltage.)
c. What is the expected behavior of the output as the frequency approaches ∞o? When the
frequency approaches 0?
d. At what frequency will the voltage gain be at a maximum?
VL
+
L V
C
Transcribed Image Text:+1 + R VR IR Vs Io IL Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV 1. Answer the following questions, showing your solutions where applicable. a. Find an expression for the complex gain, A = b. Derive an expression for the cutoff frequency/ies of the circuit. (Hint: The cutoff frequency, w, is the frequency at which the output voltage is of the input voltage.) c. What is the expected behavior of the output as the frequency approaches ∞o? When the frequency approaches 0? d. At what frequency will the voltage gain be at a maximum? VL + L V C
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