+1 + R VR ĪR + + L V Vs 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. a. Find an expression for the complex gain, |A| (1) 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? C

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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+1
+
R ĪR
VR
+
+
Vs
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.
a. Find an expression for the complex gain, |A|
(1)
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?
L V
C
Transcribed Image Text:+1 + R ĪR VR + + Vs 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. a. Find an expression for the complex gain, |A| (1) 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? L V C
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