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1. Consider following analog circuit. Determine: a) the transfer function that relates the resistor voltage and the input voltage HR(s) = "R, b) the transfer function that relates the inductor voltage and the input voltage H, (s) = V, c) the transfer function that relates the capacitor voltage and the input voltage Hc(s) = C, d) the impulse response when the output voltage is measured at the resistor hr(t); e) the impulse response when the output voltage is measured at the inductor h(t); f) the impulse response when the output voltage is measured at the capacitor hg(t); g) the poles and zeros for each transfer function HR(s), Hµ(s) and Hc(s); and h) stability of the circuit. V(s) V(s) = c(s) R = 50 L=1H i(t)

1. Consider following analog circuit. Determine: a) the transfer function that relates the resistor voltage and the input voltage HR(s) = "R, b) the transfer function that relates the inductor voltage and the input voltage H, (s) = V, c) the transfer function that relates the capacitor voltage and the input voltage Hc(s) = C, d) the impulse response when the output voltage is measured at the resistor hr(t); e) the impulse response when the output voltage is measured at the inductor h(t); f) the impulse response when the output voltage is measured at the capacitor hg(t); g) the poles and zeros for each transfer function HR(s), Hµ(s) and Hc(s); and h) stability of the circuit. V(s) V(s) = c(s) R = 50 L=1H i(t)

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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1. Consider following analog circuit. Determine: a) the transfer function that relates the resistor voltage and the input voltage HR(s) = "R, b) the transfer function that relates the inductor voltage and the input voltage H, (s) = 2 V(s) V(s) c) the transfer function that relates the capacitor voltage and the input voltage Hc(s) = - Vc(s), d) the impulse response when the output V(s)' voltage is measured at the resistor hr(t); e) the impulse response when the output voltage is measured at the inductor h(t); f) the impulse response when the output voltage is measured at the capacitor he(t); g) the poles and zeros for each transfer function HR(s), Hµ(s) and Hc(s); and h) stability of the circuit. R = 50 C ==F L=1H i(t) v(t) Tip: Use the concept of impedance to obtain the transfer function that relates the mesh current I(s) and the source voltage V(s) according to V (s) = Zeq I(s) = (Zr + Z1 + Z) I(s); and to obtain the transfer function that relates each element voltage and the mesh current I(s) according to VR(s) = R 1(s) for the resistor, V,(s) = s L I(s) for the inductor and Ve = I(s) for the capacitor. Tip: Use the MATLAB instructions "syms s" and "h = ilaplace(H)" to obtain the impulse response given an expression for the transfer function such as H = s / (s + 1).
Transcribed Image Text:1. Consider following analog circuit. Determine: a) the transfer function that relates the resistor voltage and the input voltage HR(s) = "R, b) the transfer function that relates the inductor voltage and the input voltage H, (s) = 2 V(s) V(s) c) the transfer function that relates the capacitor voltage and the input voltage Hc(s) = - Vc(s), d) the impulse response when the output V(s)' voltage is measured at the resistor hr(t); e) the impulse response when the output voltage is measured at the inductor h(t); f) the impulse response when the output voltage is measured at the capacitor he(t); g) the poles and zeros for each transfer function HR(s), Hµ(s) and Hc(s); and h) stability of the circuit. R = 50 C ==F L=1H i(t) v(t) Tip: Use the concept of impedance to obtain the transfer function that relates the mesh current I(s) and the source voltage V(s) according to V (s) = Zeq I(s) = (Zr + Z1 + Z) I(s); and to obtain the transfer function that relates each element voltage and the mesh current I(s) according to VR(s) = R 1(s) for the resistor, V,(s) = s L I(s) for the inductor and Ve = I(s) for the capacitor. Tip: Use the MATLAB instructions "syms s" and "h = ilaplace(H)" to obtain the impulse response given an expression for the transfer function such as H = s / (s + 1).
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