Prelab for Experiment # 11: Transient Response of RC, RL and RLC circuitsTheory and Preparatory...

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Prelab for Experiment # 11: Transient Response of RC, RL and RLC circuits
Theory and Preparatory Questions 1) Transient behavior of RC circuits For the RC circuit in Figure 11.1 assume that the power supply is V,(t)=Ku(t) volts, where
Vi(
Figure 11.1 The series RC Circuit
u(t) is the unit step function, i.e., u(t) = 0,t
vc (t) = Vc (60) + [Vc (0) — Vc (co)] exP
(11.1)
Where Tc = RC is the time constant and Vc (0) and Vc. (co) are the initial and final voltages across the capacitor at time t = 0 and t = co , respectively. Assume that Vs =101/ and Vc (0) =1V. Questions -Assume that R = XXXXXXXXXXCalculate the value of C such that the time constant is equal to 1 ms. -What is the final voltage across the capacitor? -What are the initial (t = 0) and final (t =co) voltages across the resistor? -Write an equation for the resistor voltage transient equation. Note that V, (t) = V R(t) V. , where VR (t) is the voltage across the resistor.
2) Transient Behavior of RL Circuits For the RL circuit in Figure 11.2 assume that the power supply is V (t) = Ku(t) Volts. Then the inductor current and voltage transient equations can be written as
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David · Accepted Answer

Question1: 
a) R=1000Ω , time constant required is Tc = 1ms, 
Tc= R*C      
  
 
 
C = 1   
b) Vc(∞) should be same as the voltage source, only then current in the will be zero at T=∞ 
So Vc(∞) = 10V 
c) At any time t,

Prelab for Experiment # 11: Transient Response of RC, RL and RLC circuits Theory and Preparatory Questions 1) Transient behavior of RC circuits For the RC circuit in Figure 11.1 assume that the power...

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