system are given below: i(t) i₁(t)/ i(t) =ii(t) + i2(t) dv(t) dt i₂(t) = = R Show that the input-output plant transfer function is: K(s): di₁(t) v(t) = i(t)R + L dt Assume zero initial conditions, i.e., i₁(0) = 0 and v(0) = 0. = C 2 Problem 3 Consider now the same circuit, but now with known values of the circuit com nents (seeing your cousin's excitement, you helped them build a new one with known values!), C-1, L= 1, R=1 iz(t) s+1 v(t)
system are given below: i(t) i₁(t)/ i(t) =ii(t) + i2(t) dv(t) dt i₂(t) = = R Show that the input-output plant transfer function is: K(s): di₁(t) v(t) = i(t)R + L dt Assume zero initial conditions, i.e., i₁(0) = 0 and v(0) = 0. = C 2 Problem 3 Consider now the same circuit, but now with known values of the circuit com nents (seeing your cousin's excitement, you helped them build a new one with known values!), C-1, L= 1, R=1 iz(t) s+1 v(t)
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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Step 1: Summarize the details given:
Given Data:
An RLC circuit with the system of equations as,
- Supply current,
- Capacitor voltage, and
- Capacitor current,
To Find:
Proving the transfer function when is .
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