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# pathway for a binary electrical signal between gates in an ISBN: 9780321747730 43

## Solution for problem 3E Chapter 3.5

Fundamentals of Differential Equations | 8th Edition

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Problem 3E

The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as in Figure 3.13(b); the voltage source models the transmitting gate, and the capacitor models the receiving gate. Typically, the resistance is 100 ?, and the capacitance is very small, say, 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 5 V, how long will it take for the voltage at the receiving gate to reach (say) 3 V? (This is the time it takes to transmit a logical “1.”)

Step-by-Step Solution:

SOLUTIONStep 1Given capacitance C = Resistance R = Initial charge Voltage supplied to the circuit (E) = 5vStep 2Consider the equation…… (1)But we have Then (1) becomes ……..(2)This is linear differential equation.Step 3Integrating factor is Multiplying (2) by we getStep...

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Step 3 of 3

##### ISBN: 9780321747730

The answer to “The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as in Figure 3.13(b); the voltage source models the transmitting gate, and the capacitor models the receiving gate. Typically, the resistance is 100 ?, and the capacitance is very small, say, 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 5 V, how long will it take for the voltage at the receiving gate to reach (say) 3 V? (This is the time it takes to transmit a logical “1.”)” is broken down into a number of easy to follow steps, and 101 words. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: gate, Circuit, capacitor, say, transmitting. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 3E from 3.5 chapter was answered, more than 749 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3E from chapter: 3.5 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM.

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