Understanding Initial and Final Conditions of Capacitor and Inductor in Electric Networks

initial and final condition of capacitor n.w
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Explore the significance of studying initial conditions in differential equations for electric networks and how they help determine the values of arbitrary constants. Learn about the behaviors of uncharged and charged capacitors, as well as unenergized and energized inductors in various scenarios.

  • Initial Conditions
  • Electric Networks
  • Capacitor
  • Inductor
  • Differential Equations

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Presentation Transcript


  1. Initial and final condition of capacitor and inductor

  2. Why to study initial condition Differential equations written for a electric network consists arbitrary constant. To find the value of those arbitrary constants initial conditions are necessary.

  3. Initial and final conditions of network t=0- indicates the time just before changing the position of switch t=0+ indicates the time just after changing the position of switch t= indicates the steady state condition i.e. final condition

  4. t=0- - Behaviour of uncharged capacitor at t=0

  5. t=0+ + Behaviour of uncharged capacitor at t=0

  6. Behaviour of uncharged capacitor at t= t=

  7. Charged Capacitor

  8. Unenergized Inductor

  9. Energized Inductor

  10. Example 1

  11. Example 1

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