Question 2 Vin(t) C HH i(t) L R Vout(t) Figure 2 For the R-L-C series circuit shown in Figure 2, Vin(t) is the input voltage, C is the capacitance, L is the inductance, R is the resistance and Vout(t) is the voltage across the resistor. i) Derive the differential equation that relates the input voltage Vin (t) and the output voltage Vout(t). ii) Derive the transfer function Vout(s) Vin(s) iii) Derive the output equation Vout(s) if a constant voltage of 2V is applied.
Question 2 Vin(t) C HH i(t) L R Vout(t) Figure 2 For the R-L-C series circuit shown in Figure 2, Vin(t) is the input voltage, C is the capacitance, L is the inductance, R is the resistance and Vout(t) is the voltage across the resistor. i) Derive the differential equation that relates the input voltage Vin (t) and the output voltage Vout(t). ii) Derive the transfer function Vout(s) Vin(s) iii) Derive the output equation Vout(s) if a constant voltage of 2V is applied.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...
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Step 1: Summarize the data.
VIEWStep 2: i. Derive the differential equation that relates ? ? ? ( ? ) and ? ? ? ? ( ? ) .
VIEWStep 3: ii. Derive the transfer function, V_{out}(s) / V_{in}(s).
VIEWStep 4: iii. Derive the output equation ? ? ? ? ( ? ) if a constant voltage of 2V is applied.
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