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t = 0 2 kQ 18 k2 150 µF. Vc 4 k2 18 V + I

t = 0 2 kQ 18 k2 150 µF. Vc 4 k2 18 V + I

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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For the electric circuit shown, the switch has been closed
for a long time before it opens at t = 0. Find the mathematical
expression for the capacitor voltage vC(t) for t > 0

This is a circuit diagram illustrating the configuration for a transient analysis study. The circuit comprises the following components: - A 48 V voltage source. - A 2 kΩ resistor directly connected to the voltage source. - A switch labeled with the position `t = 0`. When closed, it connects an 18 kΩ resistor in parallel. - A 150 μF capacitor connected in parallel with the 18 kΩ resistor. The voltage across the capacitor is labeled as \( V_C \). - A 4 kΩ resistor connected in series with both the capacitor and the 18 kΩ resistor. The switch controls the flow of current in the circuit. Before time \( t = 0 \), the switch is open, meaning the 18 kΩ resistor and capacitor do not affect the circuit. When the switch closes at \( t = 0 \), the 18 kΩ resistor and capacitor become active, initiating the transient response analysis. The circuit can be analyzed for parameters such as time constant, charging and discharging behavior of the capacitor, and voltage \( V_C \) across the capacitor over time.
Transcribed Image Text:This is a circuit diagram illustrating the configuration for a transient analysis study. The circuit comprises the following components: - A 48 V voltage source. - A 2 kΩ resistor directly connected to the voltage source. - A switch labeled with the position `t = 0`. When closed, it connects an 18 kΩ resistor in parallel. - A 150 μF capacitor connected in parallel with the 18 kΩ resistor. The voltage across the capacitor is labeled as \( V_C \). - A 4 kΩ resistor connected in series with both the capacitor and the 18 kΩ resistor. The switch controls the flow of current in the circuit. Before time \( t = 0 \), the switch is open, meaning the 18 kΩ resistor and capacitor do not affect the circuit. When the switch closes at \( t = 0 \), the 18 kΩ resistor and capacitor become active, initiating the transient response analysis. The circuit can be analyzed for parameters such as time constant, charging and discharging behavior of the capacitor, and voltage \( V_C \) across the capacitor over time.
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