If a parallel RLC circuit is constructed from component values C = 16 mF and L = 1 mH

Chapter 9, Problem 3

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QUESTION:

If a parallel RLC circuit is constructed from component values C = 16 mF and L = 1 mH, choose R such that the circuit is (a) just barely overdamped; (b) just barely underdamped; (c) critically damped. (d) Does your answer for part (a) change if the resistor tolerance is 1%? 10%? (e) Increase the exponential damping coefficient for part (c) by 20%. Is the circuit now underdamped, overdamped, or still critically damped? Explain.

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QUESTION:

If a parallel RLC circuit is constructed from component values C = 16 mF and L = 1 mH, choose R such that the circuit is (a) just barely overdamped; (b) just barely underdamped; (c) critically damped. (d) Does your answer for part (a) change if the resistor tolerance is 1%? 10%? (e) Increase the exponential damping coefficient for part (c) by 20%. Is the circuit now underdamped, overdamped, or still critically damped? Explain.

ANSWER:

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Consider the given Parallel RLC circuit,

 

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