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: Ia = 0.250A, Ra = 44.0Ω, Rb = 37.0Ω, Rc = 24.0Ω, Rd = 20.0Ω, Re = 30.0Ω, Ve = 45.0V, C = 40.0μF.  Recall that for a capacitor, i=C·dv/dt.  (Hint: source transformations might help as well.) When the switch has been in position a for a long time, solve for the voltage across Rb, and the voltage across the capacitor. Solve for the voltage across the capacitor immediately after the switch is moved to position b at t = 0, and explain why. After the switch is moved to position b, solve for the time constant of the circuit. Solve for the voltage across the capacitor v(t) as a function of time, when t ≥ 0.

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter28: Overcurrent Protection–fuses And Circuit Breakers
Section: Chapter Questions
Problem 21R: Overcurrent devices must be accessible. (True) (False). (Circle the correct response.)
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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:
Ia = 0.250A, Ra = 44.0Ω, Rb = 37.0Ω, Rc = 24.0Ω, Rd = 20.0Ω, Re = 30.0Ω, Ve = 45.0V, C = 40.0μF. 
Recall that for a capacitor, i=C·dv/dt.  (Hint: source transformations might help as well.)

  1. When the switch has been in position a for a long time, solve for the voltage across Rb, and the voltage across the capacitor.
  2. Solve for the voltage across the capacitor immediately after the switch is moved to position b at t = 0, and explain why.
  3. After the switch is moved to position b, solve for the time constant of the circuit.
  4. Solve for the voltage across the capacitor v(t) as a function of time, when t ≥ 0.
Ia( ↑
R₁
Ra
a
t=0
C
Re
{Rd
Re
+ I
Ve
Transcribed Image Text:Ia( ↑ R₁ Ra a t=0 C Re {Rd Re + I Ve
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