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3. Figure 3 shows a nonlinear circuit consisting of a diode and a capacitor in parallel combination. Furthermore, the circuit is driven by a constant current source Is. The voltage v(t) satisfies the nonlinear equation odv dt + Iev/(nVT) = Is (9) where I, n and Vr are the saturation current, emission coefficient, and thermal voltage of the diode, respectively. Moreover, they are all constants. Also in (9), C is the capacitance and Is > I. Answer the following questions. (a) When the system is in equilibrium, v(t) = vo = constant. Find the constant vo. (b) Linearize (9) around v = vo to obtain a linearized equation of motion.

3. Figure 3 shows a nonlinear circuit consisting of a diode and a capacitor in parallel combination. Furthermore, the circuit is driven by a constant current source Is. The voltage v(t) satisfies the nonlinear equation odv dt + Iev/(nVT) = Is (9) where I, n and Vr are the saturation current, emission coefficient, and thermal voltage of the diode, respectively. Moreover, they are all constants. Also in (9), C is the capacitance and Is > I. Answer the following questions. (a) When the system is in equilibrium, v(t) = vo = constant. Find the constant vo. (b) Linearize (9) around v = vo to obtain a linearized equation of motion.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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3. Figure 3 shows a nonlinear circuit consisting of a diode and a capacitor in parallel combination. Furthermore, the circuit is driven by a constant current source Is. The voltage v(t) satisfies the nonlinear equation odv dt + Iev/(nVT) = Is (9) where I, n and Vr are the saturation current, emission coefficient, and thermal voltage of the diode, respectively. Moreover, they are all constants. Also in (9), C is the capacitance and Is > I. Answer the following questions. (a) When the system is in equilibrium, v(t) = vo = constant. Find the constant vo. (b) Linearize (9) around v = vo to obtain a linearized equation of motion.
Transcribed Image Text:3. Figure 3 shows a nonlinear circuit consisting of a diode and a capacitor in parallel combination. Furthermore, the circuit is driven by a constant current source Is. The voltage v(t) satisfies the nonlinear equation odv dt + Iev/(nVT) = Is (9) where I, n and Vr are the saturation current, emission coefficient, and thermal voltage of the diode, respectively. Moreover, they are all constants. Also in (9), C is the capacitance and Is > I. Answer the following questions. (a) When the system is in equilibrium, v(t) = vo = constant. Find the constant vo. (b) Linearize (9) around v = vo to obtain a linearized equation of motion.
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