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what is I (0¯)?

what is I (0¯)?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Switch is at A t=18 VA 10V 1. Starting from the initial time, i.e., t = -∞, the switch is at point A. The voltage source started to charge the inductor. 2. Next, at t= 0, which is the time instant just before t = O. At this time instant, the switch is still at point A, and the inductor is in a steady state, so it is equivalent to a short circuit. So what is I (0)? Hint: you can redraw the circuit at this time, replacing the inductor with a short circuit. O OA 0 1 A O2 A 3 A two t=0 R 100 t=0 M t=48 Switch is at B Iz (07)
Transcribed Image Text:Switch is at A t=18 VA 10V 1. Starting from the initial time, i.e., t = -∞, the switch is at point A. The voltage source started to charge the inductor. 2. Next, at t= 0, which is the time instant just before t = O. At this time instant, the switch is still at point A, and the inductor is in a steady state, so it is equivalent to a short circuit. So what is I (0)? Hint: you can redraw the circuit at this time, replacing the inductor with a short circuit. O OA 0 1 A O2 A 3 A two t=0 R 100 t=0 M t=48 Switch is at B Iz (07)
For an RL circuit in Transient analysis, the current on the inductor follows: Iz (t) = K₁ + K₂ e 4 R To solve for IT (t), we need to know three parameters, i.e., K₁, K2, T. By observing the above expression, we find out that: IL (0)= K₁ + K2, IL (+00) = K₁. Now, we need to find values of IL (0), IL (+∞). In the following circuit, the switch is turned from A to B at t=0. VA 10V 44 A T B R 100 m VR(t)- Similar to RC transient analysis, let draw a time axis. Switch is at A v₁(t) Switch is at B t = 0 t = 0+ immt L 10H
Transcribed Image Text:For an RL circuit in Transient analysis, the current on the inductor follows: Iz (t) = K₁ + K₂ e 4 R To solve for IT (t), we need to know three parameters, i.e., K₁, K2, T. By observing the above expression, we find out that: IL (0)= K₁ + K2, IL (+00) = K₁. Now, we need to find values of IL (0), IL (+∞). In the following circuit, the switch is turned from A to B at t=0. VA 10V 44 A T B R 100 m VR(t)- Similar to RC transient analysis, let draw a time axis. Switch is at A v₁(t) Switch is at B t = 0 t = 0+ immt L 10H
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