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The circuit of Fig. 9.2 is modified substantially, with the resistor being re- placed with a 1 k2 resistor, the inductor swapped out for a smaller 7 mH ver- sion, the capacitor replaced with a 1 nF alternative, and now the inductor is ini- tially discharged while the capacitor is storing 7.2 mJ. (a) Computea, o, $1, and $2, and verify that the circuit is still overdamped. (b) Obtain an expression for the current flowing through the resistor which is valid for 1 > 0. (c) Calcu- late the magnitude of the resistor current at t = 10 µs. 60 ww 7 H ell -19 ich 카 FIGURE 9.2 A parallel RLC circuit used as a numer- ical example. The circuit is overdamped.

The circuit of Fig. 9.2 is modified substantially, with the resistor being re- placed with a 1 k2 resistor, the inductor swapped out for a smaller 7 mH ver- sion, the capacitor replaced with a 1 nF alternative, and now the inductor is ini- tially discharged while the capacitor is storing 7.2 mJ. (a) Computea, o, $1, and $2, and verify that the circuit is still overdamped. (b) Obtain an expression for the current flowing through the resistor which is valid for 1 > 0. (c) Calcu- late the magnitude of the resistor current at t = 10 µs. 60 ww 7 H ell -19 ich 카 FIGURE 9.2 A parallel RLC circuit used as a numer- ical example. The circuit is overdamped.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The text from the image is as follows: The circuit of Fig. 9.2 is modified substantially, with the resistor being replaced with a 1 kΩ resistor, the inductor swapped out for a smaller 7 mH version, the capacitor replaced with a 1 nF alternative, and now the inductor is initially discharged while the capacitor is storing 7.2 mJ. (a) Compute α, ω₀, s₁, and s₂, and verify that the circuit is still overdamped. (b) Obtain an expression for the current flowing through the resistor which is valid for t > 0. (c) Calculate the magnitude of the resistor current at t = 10 μs. The diagram shows: - A parallel RLC circuit with a 6 Ω resistor, a 7 H inductor, and a \( \frac{1}{42} \) F capacitor. - Arrows indicating the current through the resistor (\( i_R \)), the total current (\( i \)), and the current through the capacitor (\( i_C \)). - The label \( v \) indicating voltage across the circuit. FIGURE 9.2 A parallel RLC circuit used as a numerical example. The circuit is overdamped.
Transcribed Image Text:The text from the image is as follows: The circuit of Fig. 9.2 is modified substantially, with the resistor being replaced with a 1 kΩ resistor, the inductor swapped out for a smaller 7 mH version, the capacitor replaced with a 1 nF alternative, and now the inductor is initially discharged while the capacitor is storing 7.2 mJ. (a) Compute α, ω₀, s₁, and s₂, and verify that the circuit is still overdamped. (b) Obtain an expression for the current flowing through the resistor which is valid for t > 0. (c) Calculate the magnitude of the resistor current at t = 10 μs. The diagram shows: - A parallel RLC circuit with a 6 Ω resistor, a 7 H inductor, and a \( \frac{1}{42} \) F capacitor. - Arrows indicating the current through the resistor (\( i_R \)), the total current (\( i \)), and the current through the capacitor (\( i_C \)). - The label \( v \) indicating voltage across the circuit. FIGURE 9.2 A parallel RLC circuit used as a numerical example. The circuit is overdamped.
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