+1 + R IR w VR Vs VLL V. I. -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. V a. Find an expression for the complex gain, |4 | 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 co? When the frequency approaches 0? d. At what frequency will the voltage gain be at a maximum? C

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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+1
+
R IR
w
VR
Vs
VLL V.
I.
-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.
V
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 co? When the
frequency approaches 0?
d. At what frequency will the voltage gain be at a maximum?
C
Transcribed Image Text:+1 + R IR w VR Vs VLL V. I. -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. V 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 co? When the frequency approaches 0? d. At what frequency will the voltage gain be at a maximum? C
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