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1. Derive the transfer function, G(s) of the system using V(s) as the input and Vc(s) as the output. See electrical circuit attached.

1. Derive the transfer function, G(s) of the system using V(s) as the input and Vc(s) as the output. See electrical circuit attached.

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
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1. Derive the transfer function, G(s) of the system using V(s) as the input and Vc(s) as the output.

See electrical circuit attached.

A circuit with a resistor and capacitor in series is subjected to a number of different input voltages as shown: R VR(t) v(t) vo(t) i(t) v(t) i(t) VR(t) vc(t) C Input voltage to the circuit Current flowing in the circuit Voltage across the resistor Output voltage across the capacitor Capacitance of the capacitor Resistance of the resistor = R Using Kichhoff's voltage law we can derive a model of the circuit operation For a series resistor and capacitor circuit: v(t) = vR(t) + vc(t)
Transcribed Image Text:A circuit with a resistor and capacitor in series is subjected to a number of different input voltages as shown: R VR(t) v(t) vo(t) i(t) v(t) i(t) VR(t) vc(t) C Input voltage to the circuit Current flowing in the circuit Voltage across the resistor Output voltage across the capacitor Capacitance of the capacitor Resistance of the resistor = R Using Kichhoff's voltage law we can derive a model of the circuit operation For a series resistor and capacitor circuit: v(t) = vR(t) + vc(t)
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