Problem Use the below circuit with a voltage source (DC 1V), a current source (DC 1mA), three ideal switches, two resistors (1k2 and 2k), and a capacitor (1pF) to solve the following sub-problems. Note that three switches are turned on/off using two input voltages: V₁(t) and v2(t). The switch is fully turned on with zero ON resistance when the input voltage is 1V and fully turned off with infinite ON resistance when the input voltage is 0. 1V (+ 1mA 1ΚΩ ww Vo(t) V2(t) V2(t) 2ΚΩ =1pF (a) Find the expression of vo(t) for t≥0, when v₁(t) is a step function and v2(t) is DC 0V. Note that v₁(t)=u(t), where V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that v o(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged). (b) Draw the output transient voltage, vo(t) from 0 to 10ns, using the expression of vo(t) when t≥0 from problem 4(a). Indicate time and voltage when t=0 and t=10ns. (c) Find the expression of vo(t) for t≥0, when vi(t) is DC 0V and V2(t) is a step function. Note that v2(t)=u(t), where V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that vo(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged).
Problem Use the below circuit with a voltage source (DC 1V), a current source (DC 1mA), three ideal switches, two resistors (1k2 and 2k), and a capacitor (1pF) to solve the following sub-problems. Note that three switches are turned on/off using two input voltages: V₁(t) and v2(t). The switch is fully turned on with zero ON resistance when the input voltage is 1V and fully turned off with infinite ON resistance when the input voltage is 0. 1V (+ 1mA 1ΚΩ ww Vo(t) V2(t) V2(t) 2ΚΩ =1pF (a) Find the expression of vo(t) for t≥0, when v₁(t) is a step function and v2(t) is DC 0V. Note that v₁(t)=u(t), where V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that v o(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged). (b) Draw the output transient voltage, vo(t) from 0 to 10ns, using the expression of vo(t) when t≥0 from problem 4(a). Indicate time and voltage when t=0 and t=10ns. (c) Find the expression of vo(t) for t≥0, when vi(t) is DC 0V and V2(t) is a step function. Note that v2(t)=u(t), where V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that vo(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged).
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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Transcribed Image Text:Problem
Use the below circuit with a voltage source (DC 1V), a current source (DC 1mA), three ideal switches, two resistors
(1k2 and 2k), and a capacitor (1pF) to solve the following sub-problems. Note that three switches are turned on/off
using two input voltages: V₁(t) and v2(t). The switch is fully turned on with zero ON resistance when the input voltage
is 1V and fully turned off with infinite ON resistance when the input voltage is 0.
1V (+
1mA
1ΚΩ
ww
Vo(t)
V2(t)
V2(t)
2ΚΩ
=1pF
(a) Find the expression of vo(t) for t≥0, when v₁(t) is a step function and v2(t) is DC 0V. Note that v₁(t)=u(t), where
V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that v o(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged).
(b) Draw the output transient voltage, vo(t) from 0 to 10ns, using the expression of vo(t) when t≥0 from problem 4(a).
Indicate time and voltage when t=0 and t=10ns.
(c) Find the expression of vo(t) for t≥0, when vi(t) is DC 0V and V2(t) is a step function. Note that v2(t)=u(t), where
V₁(t)=0V if t<0 and v₁(t)=1V if t≥0. Note that vo(t) when t=0 is 0V (i.e., 1pF capacitor fully discharged).
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