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Inductive Transients

This guide covers the fundamental concepts of inductive transients, focusing on the behavior of current and voltage in inductive circuits when switches are opened or closed. It explains the instantaneous nature of current changes, the application of Kirchhoff's Voltage Law (KVL), and provides examples to illustrate how to calculate current and voltage at specific instances. Key examples include circuits with various voltages and resistance values, showcasing the principles of current buildup, time constants, and de-energizing transients. Ideal for students and professionals looking to deepen their understanding of inductive behavior in electrical systems.

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Inductive Transients

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  1. Inductive Transients

  2. Introduction

  3. Inductor Voltage • Immediately after the switch is closed, the current is still zero, (since it cannot change instantaneously).

  4. Example • E=20 V, Determine i, and VL at the instant switch is closed.

  5. Current Buildup Transients • Applying KVL:

  6. Circuit Voltages

  7. Example • E=50 V, R= 10 ohm, L= 2H

  8. Example • VL for above example:

  9. Time Constant

  10. Interrupting current in an inductive circuit

  11. Interrupting via Resistor

  12. Inductor Equivalent at Switching

  13. De-energizing Transients KVL: VL+ VR1+VR2=0

  14. Example • Assume steady state for circuit. E=120 V, R1=30 ohm, R2=600 ohm, L=126 m H

  15. Voltages

  16. Example

  17. Solution

  18. Solution

  19. Solution

  20. Solution

  21. Reading Assignment • Section 14.5, Robbins and Miller’s Book

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