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 100 £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?

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 100 £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?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 84CP: In this chapter, most examples and problems involved direct current (DC). DC circuits have the...

See similar textbooks

Related questions

Q: In this problem, a circuit with number of resistors connected in series and parallel connection with…

Q: A circuit with a battery, a 8 Ω resistor, a 16 Ω resistor, and a 27 Ω resistor in series. The total…

Q: The diagram below shows a RC circuit which consists of one capacitor and two identical light bulbs.…

Q: Question 2: From the following graph, calculate the approximate values of RC time constant when (a)…

A: While charging - Time constant = time taken by capacitor to charge 63.2 % . While discharging -…

Q: What is the maximum charge on a capacitor in an RC circuit?

Q: The figure shows a circuit of four resistors that are connected to a larger circuit. The graph below…

Q: An RC circuit with a time constant of 5e-3 seconds is being charged. How long does it take for the…

A: Given: Time constant = 5×10-3 s.

Q: Consider the following figure. An open circuit containing four resistors starts at point a and ends…

A: The equivalent resistance in parallel connection, RP=R2×RR2+R Substitute, RP=7.0 Ω17.0 Ω7.0 Ω+17.0…

Q: A RC circuit has an emf of 10 sin t volts, a resistance of 100 ohms, a capacitance of 0.005 farad,…

Q: A capacitor in a single-loop RC circuit is charged to 65% of its final voltage in 1.6 s. Find the…

Q: 6.0 μ 3.0 μF 6.0 μ 3.0 μF 400 V Solve for the energy for each capacitor, and the equivalent…

A: Given circuit diagram is shown:

Q: Assume that you have a voltage source of 31 V and three resistors: Resistor A is 9.5 Ω, Resistor B…

A: Given: The voltage source V= 31 V Three resistors: Resistor A RA= 9.5 Ω Resistor B RB= 4.1 Ω…

Q: In the figure, three resistors are connected to a voltage source so that R2 and R3 are in parallel…

A: The resistors R2 and R3 are in parallel connection. The net resistance is 1R = 1R2+1R3 1R=16+113 R =…

Q: Shown in the figure below is an RC circuit. At t=0, the capacitor already contains a charge and as a…

A: Given, V = 7.00 V R = 7575 Ω C = 3.57 x 10-6 F Initial voltage of capacitor, Vo = 7 V

Q: The capacitor stores 79.2 mJ of energy after a Voat = 10.0 V battery has been connected to the…

Q: Consider the following figure. 7.00 N 4.00 N 9.00 N R a (a) Find the equivalent resistance between…

Q: apacitor immediately after the switch is closed? What is the voltage across the resistor immediately…

Q: Consider the circuit shown in the figure. A short time after closing the switch, the charge on the…

A: Given: The charge on the capacitor is 90% of the initial charge. The time constant is 17.7 s. The…

Q: Consider the RC circuit shown in the figure below. If the resistance of the circuit is R=4kN and the…

A: Given: Circuit resistance, Capacitance, Battery emf,

Question

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 100 £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?
R
W
E
It will take
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.)
Q

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 2.00- and a 7.50F capacitor can be connected in series or parallel, as can a 25.0- and a 100k resistor.Calculate the four RC time constants possible from connecting the resulting capacitance and resistance in series.
A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.
The timing device in an automobile's intermittent wiper system is based on an RC rime constant and utilizes a 0.500F capacitor and a variable resistor. Over whatrange must R be made to vary to achieve time constants from 2.00 to 15.0 s?
Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf, and a switch. What are a. the charge on the capacitor, b. the current in the resistor, c. the rate at which the capacitor is storing energy, and d. the rate at which the battery is delivering energy exactly 7.50 s alter the switch is closed?
Figure 21.55 shows how a bleeder resistor is used to discharge a capacitor after an electronic device is shut off allowing a person to work on the electronics with less risk of shock, (a) What is the time constant? (b) How long will it take to reduce the voltage on the capacitor to 0.250% (5% of 5%) of its full value once discharge begins? (c) If the capacitor is charged to a voltage V0through a 100-O resistance, calculate the time it takes to rise to 0.865V0(This is about two time constants.)
Consider the circuit shown in the preceding problem. Write equations for the power supplied by the voltage sources and the power dissipated by the resistors in terms
The timing device in an automobile’s intermittent wiper system is based on an RC time constant and utilizes 0.5.00F capacitor and available resistor. Over what range must R be made to vary to achieve time constants from 2.00 to 15.0 s?
Regarding the units involved in the relationship t = RC, verify that the units of resistance times capacitance are time, that is, . F = S.
Draw two graphs of charge versus time on a capacitor. Draw one for charging an initially uncharged capacitor in series with a resistor, as in the circuit in Figure 21.38, starting from t = 0. Draw the other for discharging a capacitor through a resistor, as in the circuit in Figure 21.39, starting at t = 0, with an initial charge Q0. Show at least two intervals of t.
Consider a series RC circuit as in Figure P18.35 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed. Figure P18.35 Problem 35 and 38.
Figure P18.26 shows a voltage divider, a circuit used to obtain a desired voltage Vout from a source voltage . Determine the required value of R2 if = 5.00 V, Vout = 1.50 V and R1 = 1.00 103 (Hint: Use Kirchhoff's loop rule, substituting Vout = IR2, to find the current. Then solve Ohms law for R2. Figure P18.26
Consider a circuit that consists of a real battery with an emf and an internal resistance of r connected to a variable resistor R. (a) In order for the terminal voltage of the battery to be equal to the emf of the battery, what should the resistance of the variable resistor be adjusted to? (b) In older to get the maximum current from the battery, what should the resistance variable resistor be adjusted to? (c) In order for the maximum power output of the battery to be reached, what should the resistance of the variable resistor be set to?