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	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

Category: RC Natural Response/

	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

	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

Category: RC Sequential Response/

	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/

	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

	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 v_C 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

Category: RL Initial Conditions/

	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

	Problem 2 Assume the switch in the circuit below has been open for a long time, find the expression for the inductor current i_L(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

Category: RL Sequential Response/

	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 i_L(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

Category: RL Natural Response/

	Problem 1 Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current i_L(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

	Problem 2 Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current i_L(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/

	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 i_L(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

	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 i_L(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

Category: Second Order (RLC)/

Category: Initial Conditions/

	Problem 1 For the circuit shown below, the switch has been opened for a long time and it is closes at t=0. Determine the initial values of the inductor and capacitor voltages and currents: i_L(0⁺), v_L(0⁺), i_C(0⁺), and v_C(0⁺).
	Transient Circuits > Second Order (RLC) > Initial Conditions Keywords: Inductor, Capacitor, Step Response, RLC, Voltage Source, Dual Voltage Source , First Order Response , differential equation Length: 6:50 Date Added: 2007-05-23 20:24:04 Filename: rlc_InitialConds_ex1 ID: 13

Category: Initial Value and Final Value/

	Problem 1 Determine the initial value of v_R(t) and dv_R(t)/dt, and the final value of v_R(t).
	Transient Circuits > Second Order (RLC) > Initial Value and Final Value Keywords: Length: 6:18 Date Added: 2007-05-23 20:24:04 Filename: rlc_initfinal_ex1 ID: 34

	Problem 2 Determine the initial value of v_C(t) and dv_C(t)/dt, and the final value of v_C(t).
	Transient Circuits > Second Order (RLC) > Initial Value and Final Value Keywords: Length: 3:25 Date Added: 2007-05-23 20:24:04 Filename: rlc_initfinal_ex2 ID: 251

	Problem 3 For both the inductor current and voltage, determine their initial values, the initial values of their derivatives, and their final values. The capacitor has 9 J of stored energy before the switch closes.
	Transient Circuits > Second Order (RLC) > Initial Value and Final Value Keywords: Length: 7:42 Date Added: 2007-05-23 20:24:04 Filename: rlc_initfinal_ex3 ID: 252

Category: Response Type/

	Problem 1 For each circuit, determine the qualitative form of the response v_c(t) as being either overdamped, underdamped, or critically damped.
	Transient Circuits > Second Order (RLC) > Response Type Keywords: resistor, capacitor, inductor algebra Length: 3:30 Date Added: 2007-05-23 20:24:04 Filename: rlc_responsetype_1 ID: 241

	Problem 2 Determine the qualitative form of the response v_C(t) as being either overdamped, underdamped, or critically damped.
	Transient Circuits > Second Order (RLC) > Response Type Keywords: resistor, capacitor, inductor algebra Length: 2:27 Date Added: 2007-05-23 20:24:04 Filename: rlc_responsetype_2 ID: 242

	Problem 3 Determine the qualitative form of the response i_L(t) as being either overdamped, underdamped, or critically damped.
	Transient Circuits > Second Order (RLC) > Response Type Keywords: resistor, capacitor, inductor algebra Length: 1:47 Date Added: 2007-05-23 20:24:04 Filename: rlc_responsetype_3 ID: 243

	Problem 4 Determine the qualitative form of the response i_L(t) as being either overdamped, underdamped, or critically damped.
	Transient Circuits > Second Order (RLC) > Response Type Keywords: resistor, capacitor, inductor algebra Length: 2:19 Date Added: 2007-05-23 20:24:04 Filename: rlc_responsetype_4 ID: 244

	Problem 5 What value of R will make this circuitry critically damped?
	Transient Circuits > Second Order (RLC) > Response Type Keywords: resistor, capacitor, inductor algebra Length: 3:16 Date Added: 2007-05-23 20:24:04 Filename: rlc_responsetype_5 ID: 245

Category: Step Response/

	Problem 1 Plot the inductor current i_L(t) and inductor voltage v_L(t) for time t = -0.1 seconds to t = 3 seconds. Confirm your results using a circuit simulator.
	Transient Circuits > Second Order (RLC) > Step Response Keywords: resistor, capacitor, inductor algebra Length: 11:57 Date Added: 2007-05-23 20:24:04 Filename: rlc_stepresponse_1 ID: 253

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