Network Theory 11 | Transient in RLC circuit | EE,ECE & IN | GATE Crash Course

GATE Wallah - EE, EC, CS & IN2 minutes read

The equation for voltage in circuits is valid only for post-order circuits and not for higher-order circuits, impulsive input levels, or time-dependent inputs. The Laplace transform is crucial in circuit analysis to calculate initial current and voltage source values accurately, particularly for mastering higher-order circuits and understanding capacitor properties.

Insights

  • The equation for voltage in a circuit is specifically applicable to post-order circuits, excluding higher-order circuits, impulsive input levels, and time-dependent inputs.
  • Utilizing Laplace transforms is crucial for analyzing and solving circuit problems accurately, especially in higher-order circuits, where initial values of current and voltage sources play a significant role in the analysis process.

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Recent questions

  • What type of circuits is the voltage equation valid for?

    First-order circuits

  • When should the Laplace transform be used in circuit analysis?

    Always

  • How should initial values for current and voltage sources be handled in circuit analysis?

    Calculated

  • How should circuits be analyzed at T=0+?

    By replacing components with sources

  • What is the impact of impulsive input on inductor properties?

    Not followed

Related videos

Summary

00:00

Mastering Circuit Analysis with Laplace Transforms

  • The equation for voltage in a circuit is valid only for post-order circuits.
  • The equation is valid for first-order circuits but not for higher-order circuits.
  • The equation is not valid for impulsive input levels.
  • Inductor and capacitor properties are not followed in the case of impulsive input.
  • The equation is not valid for time-dependent inputs.
  • The Laplace transform should always be used in circuit analysis.
  • Initial values for current and voltage sources need to be calculated.
  • The circuit should be analyzed at T=0+ by replacing components with their respective sources.
  • The Laplace transform is crucial for mastering higher-order circuits.
  • Understanding Laplace transforms is essential for solving circuit problems accurately.

49:29

"Capacitors, Switches, and Inductors: Electrical Observations"

  • Capacitors are not given and will not be combined later.
  • A question is posed about 10 volts becoming zero and the need to leave.
  • The switch is observed to be open, leading to a current of 10 amperes.
  • A figure is drawn with a 6 ampere current flowing, leading to a value of 3 amps.
  • Impulsive input affects the inductor's property, not following its own rules.
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