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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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system are given below:
i(t)
i₁(t)
R
i(t) = i(t) + i2(t)
i₂(t) = dv(t)
dt
di₁(t)
v(t) = i₁(t)R + L dt
Assume zero initial conditions, i.e., i₁(0) = 0 and v(0) = 0.
Show that the input-output plant transfer function is:
K(s)
i₂(t)
Problem 3
Consider now the same circuit, but now with known values of the circuit compo-
nents (seeing your cousin's excitement, you helped them build a new one with known values!),
C = 1, L = 1, R = 1
s+1
s² + s +1
C v(t)
Transcribed Image Text:system are given below: i(t) i₁(t) R i(t) = i(t) + i2(t) i₂(t) = dv(t) dt di₁(t) v(t) = i₁(t)R + L dt Assume zero initial conditions, i.e., i₁(0) = 0 and v(0) = 0. Show that the input-output plant transfer function is: K(s) i₂(t) Problem 3 Consider now the same circuit, but now with known values of the circuit compo- nents (seeing your cousin's excitement, you helped them build a new one with known values!), C = 1, L = 1, R = 1 s+1 s² + s +1 C v(t)
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