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Derive Expression for Electric Circuit

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I need some help with this question:
a. Derive an expression for the phase shift of the circuit below

b. Calculate the phase shift at a frequency of 30 KHZ given that:
L = 12 mH
R = 220 ohms
C = 47 nF
RL = 1.2 K*ohms

c. What is the effect on output signal amplitude and phase of open circuiting the load? See attachment.

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Solution Summary

This solution contains step-by-step derivations for the phase shift of the circuit. It also calculates the phase shift at a specific frequency and what the effect on output signal amplitude and phase of open circuiting the load. All workings are shown with brief explanations.

Solution Preview

Please see the attached file.

a. Derive an expression for the phase shift of the circuit below.

Then, the phase of is .
From voltage divide rule:

The ...

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