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View All : Main > Topics > Transient Circuits > First Order
diagram_thumbnail Problem 1

The circuit is in the steady state mode before the switch closes at t=0; Determine the current i(t) through terminal a and b for t>0.

Transient Circuits > First Order > RC Initial Conditions
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • step response,
  • transient
,
  • transient response
,
  • differential equation
Length: 7:12    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcInitialCond_ex1    ID: 1
diagram_thumbnail Problem 1

Assume the switch has been in position (a) for a long time and at time t=0 it moves to position (b). Find the expression for the capacitor voltage for t > 0.

Transient Circuits > First Order > RC Natural Response
Keywords:
  • Independent Voltage Source,
  • Capacitor,
  • Resistor,
  • Switch,
  • Natural Response
,
  • Natural Response
,
  • Differential Equations
Length: 4:50    Date Added: 2006-08-29 13:31:15    Filename: firstOrder_rcNatural_ex1    ID: 24
diagram_thumbnail Problem 2

The switch has been closed for a long time and opens at t=0. Determine an expression for the current through the 4kOhm resistor and capacitor.

Transient Circuits > First Order > RC Natural Response
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • natural response
,
  • natural response
,
  • differential equation
Length: 5:01    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcNatural_ex2    ID: 25
diagram_thumbnail Problem 1

At t=0 the switch is flipped to position (b) after being in position (a) for a long time. After 1ms it moves back to position (a). Find the capacitor voltage as a function of time t.

Transient Circuits > First Order > RC Sequential Response
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • natural response,
  • step response,
  • independent current source
,
  • transient response
,
  • differential equation
Length: 7:54    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcSequential_ex1    ID: 26
Category: RC Step Response/
diagram_thumbnail Problem 1

At t=0 the switch closes. Find an expression for the capacitor voltage.

Transient Circuits > First Order > RC Step Response
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • step response
,
  • transient response
,
  • differential equation
Length: 6:04    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcStep_ex1    ID: 27
diagram_thumbnail Problem 2

Assume the switch has been open for a long time and closes at t=0. Find the resulting voltage across the capacitor and the current through the resistor.

Transient Circuits > First Order > RC Step Response
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • step response
,
  • transient response
,
  • differential equation
Length: 7:22    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcStep_ex2    ID: 28
Problem 3

Assume the switch in the circuit has been open for a long time, find the expression for the capacitor voltage vC after the switch closes. statement_diagram:screenshot.gif

Transient Circuits > First Order > RC Step Response
Keywords:
  • independent voltage source,
  • capacitor,
  • resistor,
  • switch,
  • step response,
  • independent current source
,
  • transient response
,
  • differential equation
Length: 4:13    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rcStep_ex3    ID: 29
diagram_thumbnail Problem 1

The switch has been in position (a) for a long time before it goes to position (b). Find the values for the inductor voltage and current immediately after the switch closes and as time approaches infinity.

Transient Circuits > First Order > RL Initial Conditions
Keywords:
  • independent voltage source,
  • inductor,
  • resistor,
  • switch
,
  • transient response
,
  • differential equation
Length: 5:52    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlInitialCond_ex1    ID: 31
diagram_thumbnail Problem 2

Assume the switch in the circuit below has been open for a long time, find the expression for the inductor current iL(t) after the switch closes.

Transient Circuits > First Order > RL Initial Conditions
Keywords:
  • independent current source,
  • resistor,
  • inductor,
  • switch,
  • initial conditions,
  • transient response
,
  • transient response
,
  • differential equation
Length: 5:23    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlInitialCond_ex2    ID: 32
diagram_thumbnail Problem 1

The two switches in the circuit have been closed for a long time.  At t=0 Switch 1 opens and after 1ms Switch 2 opens. Find the inductor current iL(t) for t>0.

Transient Circuits > First Order > RL Sequential Response
Keywords:
  • sequential switch
,
  • state equations
,
  • differential equation
Length: 8:58    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlSequential_ex1    ID: 33
diagram_thumbnail Problem 1

Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current iL(t) after the switch opens.

Transient Circuits > First Order > RL Natural Response
Keywords:
  • current source,
  • inductor,
  • natural response,
  • resistor
,
  • natural response equation
,
  • differential equation
Length: 7:24    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlNatural_ex1    ID: 35
diagram_thumbnail Problem 2

Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current iL(t) after the switch opens.

Transient Circuits > First Order > RL Natural Response
Keywords:
  • voltage source,
  • inductor,
  • natural response
,
  • first order response
,
  • differential equation
Length: 6:44    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlNatural_ex2    ID: 36
Category: RL Step Response/
diagram_thumbnail Problem 1

Consider the RL circuit in which the switch closes at t=0. Assume the initial current through the inductor is I0. Our goal is to find the inductor current iL(t) for t>0.

Transient Circuits > First Order > RL Step Response
Keywords:
  • voltage source,
  • switch,
  • inductor,
  • first order linear equation
,
  • first order response
,
  • differential equation
Length: 6:17    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlStep_ex1    ID: 37
diagram_thumbnail Problem 2

The switch in the circuit has been open for a long time (steady-state conditions apply) and closes at t=0. Determine current through the inductor iL(t) for t>0.

Transient Circuits > First Order > RL Step Response
Keywords:
  • voltage source,
  • step response,
  • inductor,
,
  • step response equation
,
  • differential equation
Length: 7:47    Date Added: 2007-05-23 20:24:04    Filename: firstOrder_rlStep_ex2    ID: 38