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Linear Circuit Analysis Homework: ECE201 - RC and RL Circuits, Assignments of Electrical Circuit Analysis

Purdue UniversityElectrical Circuit Analysis

A homework assignment for the linear circuit analysis course (ece201) focusing on rc and rl circuits. Students are required to find effective resistances, time constants, and plot voltage and current responses for given conditions. The document also includes questions related to rl circuits and the switch closing and opening times.

Typology: Assignments

2011/2012

Uploaded on 04/27/2012

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koofers-user-tof-1 🇺🇸

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Homework 19
ECE201: Linear Circuit Analysis
Due in class: Wednesday, October 12, 2011
1. The configuration of an RC circuit is given below.
a. Find the effective resistance seen by the capacitor.
b. Determine the time constant
of the RC circuit.
c. If V(t) = 10u(t) and VC(0) = 0V, plot VC(t) for 0 < t < 2
seconds.
d. If V(t) = 10u(t) and VC(0) = 4V, plot VC(t) for 0 < t < 2
seconds.
e. If V(t) = 10u(t) and VC(0) = –2V, plot iC(t) for 0 < t < 2
seconds.
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Homework 19

ECE201: Linear Circuit Analysis

Due in class: Wednesday, October 12 , 2011

  1. The configuration of an RC circuit is given below. a. Find the effective resistance seen by the capacitor. b. Determine the time constant of the RC circuit. c. If V ( t ) = 1 0 u ( t ) and VC ( 0 ) = 0V, plot VC ( t ) for 0 < t < 2 seconds. d. If V ( t ) = 10 u ( t ) and VC ( 0 ) = 4V, plot VC ( t ) for 0 < t < 2 seconds. e. If V ( t ) = 10 u ( t ) and VC ( 0 ) = – 2V, plot iC ( t ) for 0 < t < 2 seconds.
  1. The configuration of an RL circuit is given below. The switch is initially open, and at time t = t 0 the switch closes. The values of R and L are R = 3and L = 2H. The initial voltage across each inductor at t = 0 is zero. a. Find the time constant 1 of the circuit when the switch is open. b. Find the time constant 2 of the circuit when the switch is closed. c. If i (0) = 2A and t 0 = 1 , plot Vout ( t ) for 0 < t < 1. d. If i (0) = 2A and t 0 = 1 , plot Vout ( t ) for 0 < t < 1 + 2. e. If i (0) = 2A and the switch closes at t =  1 , but opens again at t =  2 , then what is the voltage VL across the 3 L inductor at time t = 2 1 + 2.