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Problem 7-3. For the circuit shown in figure P7-3, determine v₁(t), vc(t) and i(t) for t > 0+. Assume that the switch has been in its starting position for a long time before moving at t = 0. 40002 25 mH 2.5μF VL(t) i(t) -> Vc(t) 3000 t=0X 0.2A 10002- 20002

Problem 7-3. For the circuit shown in figure P7-3, determine v₁(t), vc(t) and i(t) for t > 0+. Assume that the switch has been in its starting position for a long time before moving at t = 0. 40002 25 mH 2.5μF VL(t) i(t) -> Vc(t) 3000 t=0X 0.2A 10002- 20002

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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**Problem 7-3.** For the circuit shown in figure P7-3, determine \( v_L(t) \), \( v_C(t) \) and \( i(t) \) for \( t \geq 0^+ \). Assume that the switch has been in its starting position for a long time before moving at \( t = 0 \). **Figure P7.3. Switched RLC circuit description:** The circuit includes: - An inductor of 25 mH with voltage across it labeled \( v_L(t) \). - A capacitor of 2.5 μF with voltage across it labeled \( v_C(t) \). - A resistor of 4000 Ω connected in series with the inductor and capacitor. - A 3000 Ω resistor in series with the inductor. - A 1000 Ω resistor in series with the capacitor. - A switch, which is indicated to move at \( t = 0 \). - A 200 Ω resistor in series with a 0.2 A current source connected across it after the switch. The current through the circuit is labeled \( i(t) \), flowing through the inductor, capacitor, and series resistors. The problem requires an analysis of the voltages across the inductor and capacitor and the current in the circuit after the switch moves at \( t = 0 \). The circuit has been in a steady state before this change.
Transcribed Image Text:**Problem 7-3.** For the circuit shown in figure P7-3, determine \( v_L(t) \), \( v_C(t) \) and \( i(t) \) for \( t \geq 0^+ \). Assume that the switch has been in its starting position for a long time before moving at \( t = 0 \). **Figure P7.3. Switched RLC circuit description:** The circuit includes: - An inductor of 25 mH with voltage across it labeled \( v_L(t) \). - A capacitor of 2.5 μF with voltage across it labeled \( v_C(t) \). - A resistor of 4000 Ω connected in series with the inductor and capacitor. - A 3000 Ω resistor in series with the inductor. - A 1000 Ω resistor in series with the capacitor. - A switch, which is indicated to move at \( t = 0 \). - A 200 Ω resistor in series with a 0.2 A current source connected across it after the switch. The current through the circuit is labeled \( i(t) \), flowing through the inductor, capacitor, and series resistors. The problem requires an analysis of the voltages across the inductor and capacitor and the current in the circuit after the switch moves at \( t = 0 \). The circuit has been in a steady state before this change.
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