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View All : Main > Topics > Transient Circuits > Second Order (RLC)
diagram_thumbnail 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: iL(0+), vL(0+), iC(0+), and vC(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
diagram_thumbnail Problem 1

Determine the initial value of vR(t) and dvR(t)/dt, and the final value of vR(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
diagram_thumbnail Problem 2

Determine the initial value of vC(t) and dvC(t)/dt, and the final value of vC(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
diagram_thumbnail 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/
diagram_thumbnail Problem 1

For each circuit, determine the qualitative form of the response vc(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
diagram_thumbnail Problem 2

Determine the qualitative form of the response vC(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
diagram_thumbnail Problem 3

Determine the qualitative form of the response iL(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
diagram_thumbnail Problem 4

Determine the qualitative form of the response iL(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
diagram_thumbnail 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/
diagram_thumbnail Problem 1

Plot the inductor current iL(t) and inductor voltage vL(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