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The switch has been in position a for a long time when it is moved to position b at time t= 0. The values for the circuit are as follows: Is = 5A, V₁ = 80V, R₂ = 1392, R₂ = 50022, R. = 4092, C=250µF. Recall that for a capacitor, i=C-dv/dt. (Hint: source transformations might help as well.) a. When the switch has been in position a for a long time, solve for the voltage across Ra, and the voltage across the capacitor. b. Solve for the initial voltage across the capacitor, when t = 0. c. After the switch is moved to position b, solve for the time constant of the circuit. d. Solve for the voltage across the capacitor v(t) as a function of time, when t≥ 0. (Hint: a source transformation might help you here.) e. After three time constants, solve for the power absorbed by resistor Rb, and the energy stored in the capacitor.

The switch has been in position a for a long time when it is moved to position b at time t= 0. The values for the circuit are as follows: Is = 5A, V₁ = 80V, R₂ = 1392, R₂ = 50022, R. = 4092, C=250µF. Recall that for a capacitor, i=C-dv/dt. (Hint: source transformations might help as well.) a. When the switch has been in position a for a long time, solve for the voltage across Ra, and the voltage across the capacitor. b. Solve for the initial voltage across the capacitor, when t = 0. c. After the switch is moved to position b, solve for the time constant of the circuit. d. Solve for the voltage across the capacitor v(t) as a function of time, when t≥ 0. (Hint: a source transformation might help you here.) e. After three time constants, solve for the power absorbed by resistor Rb, and the energy stored in the capacitor.

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 switch has been in position a for a long time when it is moved to position b at time t = 0. The values for the circuit are as follows: Is = 5A, V₁ = 80V, R₂ = 130, R₂ = 50022, Rc = 4092, C=250μF. Recall that for a capacitor, i=C-dv/dt. (Hint: source transformations might help as well.) a. When the switch has been in position a for a long time, solve for the voltage across Ra, and the voltage across the capacitor. b. Solve for the initial voltage across the capacitor, when t = 0. c. After the switch is moved to position b, solve for the time constant of the circuit. d. Solve for the voltage across the capacitor v(t) as a function of time, when t≥ 0. (Hint: a source transformation might help you here.) e. After three time constants, solve for the power absorbed by resistor R₁, and the energy stored in the capacitor. Ra Is ↑ Re a Rh ww b t=0 C +1 Vs
Transcribed Image Text:The switch has been in position a for a long time when it is moved to position b at time t = 0. The values for the circuit are as follows: Is = 5A, V₁ = 80V, R₂ = 130, R₂ = 50022, Rc = 4092, C=250μF. Recall that for a capacitor, i=C-dv/dt. (Hint: source transformations might help as well.) a. When the switch has been in position a for a long time, solve for the voltage across Ra, and the voltage across the capacitor. b. Solve for the initial voltage across the capacitor, when t = 0. c. After the switch is moved to position b, solve for the time constant of the circuit. d. Solve for the voltage across the capacitor v(t) as a function of time, when t≥ 0. (Hint: a source transformation might help you here.) e. After three time constants, solve for the power absorbed by resistor R₁, and the energy stored in the capacitor. Ra Is ↑ Re a Rh ww b t=0 C +1 Vs
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