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 10-11 F (10 picofarads, 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 4 V? What is the charge q(t) on the capacitor at time t? q(t) = 5x10-¹1(1-e-200000 - 200000000t) R www E It will take x 10 seconds. (Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication. Round to three decimal places 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 £2 and the capacitance is 10-11 F (10 picofarads, 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 4 V? What is the charge q(t) on the capacitor at time t? q(t) = 5x10-¹1(1-e-200000 - 200000000t) R www E It will take x 10 seconds. (Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication. Round to three decimal places as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

Problem 43EQ

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