Vs +1 + R M VR IR + VL L V + C I. IL Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV. Answer the following questions, showing your solutions where applicable. a. Find an expression for the complex gain, A 4. 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.) √2 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?
Vs +1 + R M VR IR + VL L V + C I. IL Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV. Answer the following questions, showing your solutions where applicable. a. Find an expression for the complex gain, A 4. 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.) √2 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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:Vs
+1
+
R
M
VR
IR
+
VL
L V
+
C
I.
IL
Consider the RLC circuit shown. The sinusoidal voltage source has a magnitude of IV. Answer
the following questions, showing your solutions where applicable.
a. Find an expression for the complex gain, A
4.
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.)
√2
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?
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