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The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the capacitor models the receiving gate. Suppose the resistance is 500 £2 and the capacitance is 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 6 V, how long will it take for the voltage at the receiving gate to reach 5 V? It will take seconds. (Use scientific notation. Round to three decimal places as needed.) R www E

The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the capacitor models the receiving gate. Suppose the resistance is 500 £2 and the capacitance is 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 6 V, how long will it take for the voltage at the receiving gate to reach 5 V? It will take seconds. (Use scientific notation. Round to three decimal places as needed.) R www E

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider the initial value problem given below. 1 3Y, Y(0)=7 Show that when Euler's method is used to approximate the solution to this initial value problem at x = 6, then the approximation with step size h is 6 Apply one iteration of Euler's method in order to write the next term yn +1 in terms of Xn. Yn and h, as needed. Yn+1 = 1 Substitute in f(xn.Yn) = -3Yn into the previous form. Yn+1 = Use this recursive relationship to write a term k steps in the future Thus, the approximation k = Yn+k= For the approximation in question, write the number of steps that are needed in terms of the step size h. k= is 7 (1 - 1) steps after yo = is Yn+k 05 in terms of xn Yn, h, and k, as needed.
Transcribed Image Text:Consider the initial value problem given below. 1 3Y, Y(0)=7 Show that when Euler's method is used to approximate the solution to this initial value problem at x = 6, then the approximation with step size h is 6 Apply one iteration of Euler's method in order to write the next term yn +1 in terms of Xn. Yn and h, as needed. Yn+1 = 1 Substitute in f(xn.Yn) = -3Yn into the previous form. Yn+1 = Use this recursive relationship to write a term k steps in the future Thus, the approximation k = Yn+k= For the approximation in question, write the number of steps that are needed in terms of the step size h. k= is 7 (1 - 1) steps after yo = is Yn+k 05 in terms of xn Yn, h, and k, as needed.
The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the capacitor models the receiving gate. Suppose the resistance is 500 S and the capacitance is 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 6 V, how long will it take for the voltage at the receiving gate to reach 5 V? It will take seconds. (Use scientific notation. Round to three decimal places as needed.) R www E
Transcribed Image Text:The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the capacitor models the receiving gate. Suppose the resistance is 500 S and the capacitance is 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 6 V, how long will it take for the voltage at the receiving gate to reach 5 V? It will take seconds. (Use scientific notation. Round to three decimal places as needed.) R www E
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