Determine the differential equation that relates t

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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1 Determine the differential equation that relates the input r(t) to output y(t) of a
series RLC circuit in figure 1 for these three cases:
x(t)
R
+
Figure 1: RLC circuit
• r(t) = input voltage and y(t) =current
• z(t) = input voltage and y(t) = volt age across inductor
• z(t) = input voltage and y(t) = voltage across capacitor
Transcribed Image Text:1 Determine the differential equation that relates the input r(t) to output y(t) of a series RLC circuit in figure 1 for these three cases: x(t) R + Figure 1: RLC circuit • r(t) = input voltage and y(t) =current • z(t) = input voltage and y(t) = volt age across inductor • z(t) = input voltage and y(t) = voltage across capacitor
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