3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t).The voltage v(t) across the capacitor can be modelled by the differential equationE(t) – vRC .dvdt(a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo.Ans: v(t) = vo e-5t(b) Suppose R= 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0.Ans: v(t) = 2(1 – e-5€)%3D

The circuit this is excited the use of alternating supply is referred to as an AC Circuit. The…

3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t). The voltage v(t) across the capacitor can be modelled by the differential equation dv_ E(t) – v dt RC . (a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo. Ans: v(t) = vo e-5t (b) Suppose R = 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0. Ans: v(t) = 2(1 – e-5)

3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t). The voltage v(t) across the capacitor can be modelled by the differential equation dv_ E(t) – v dt RC . (a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo. Ans: v(t) = vo e-5t (b) Suppose R = 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0. Ans: v(t) = 2(1 – e-5)

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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Concept explainers

Digital to Analog Converters

Digital to analog converters are commonly known as DAC, digital analog converter, D2A, or Digital-to-Analog converters. DACs are one of the important devices used in the electronics and electrical domain. DACs are the systems that convert a digital signal into an analog signal, whereas an analog to digital converter or ADC performs the opposite function. Digital signals are those signals that can represent the information or data as a set of discrete values. At a particular instant of time, a digital signal can only take a particular value of data. A digital signal is characterized by two unique values; zeros and ones, or true and false, represented by the Boolean domain. These are also known as binary signals or logic signals. Unlike digital signals, an analog signal is represented by continuous values, where at any time instant, the analog signal is represented by a real number.

Question

3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t).
The voltage v(t) across the capacitor can be modelled by the differential equation
E(t) – v
RC .
dv
dt
(a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo.
Ans: v(t) = vo e-5t
(b) Suppose R= 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0.
Ans: v(t) = 2(1 – e-5€)
%3D

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