Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 25, Problem 80P
In Problem 60, take C1 = C2 = C, and find the current through R2 as a function of time. (Hint: Use the node and loop laws to get a differential equation for the current, and use the initial conditions on current and its derivative to evaluate the constants of (integration.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In the circuit of, E = 100 V, C = 5 μF, R1 = R2 = R3 = 0.2 MΩ. With C completely uncharged, switch S is suddenly closed (at t = 0).(a) At t = 0, what is current in R1 resistors?(b) After a very long time, what are currents in R2 resistors?
In the circuit of, E = 100 V, C = 5 μF, R1 = R2 = R3 = 0.2 MΩ.With C completely uncharged, switch S is suddenly closed (at t = 0).(a) At t = 0, what is current in R1 resistors?(b) After a very long time, what are currents in R2 resistors?
A battery is connected to a parallel-plate capacitor C through a resistor R as shown in the figure below, and left until the capacitor reaches its equilibrium charge. At time t=0, the two plates of the capacitor are pulled apart so that the separation d between them is doubled. Which graph shows the current I through the resistor as a function of time? [The arrow shows which direction is current is considered positive.]
Thank you!
Chapter 25 Solutions
Essential University Physics (3rd Edition)
Ch. 25.1 - The figure shows three circuits. Which are...Ch. 25.2 - Rank front highest to lowest the voltages across...Ch. 25.2 - The figure shows all four possible combinations of...Ch. 25.2 - The figure shows a circuit with three identical...Ch. 25.3 - Which circuit(s) cannot be analyzed using series...Ch. 25.4 - All resistors in the figure have the same value...Ch. 25.5 - A capacitor is charged to 12 V and then connected...Ch. 25 - Are household electrical outlets connected in...Ch. 25 - All the resistors in Fig. 25.24 have the same...Ch. 25 - Can the voltage across a batterys terminals differ...
Ch. 25 - Can the voltage across a batterys terminals he...Ch. 25 - In some cities, streetlights are wired in such a...Ch. 25 - When the switch in Fig. 25.25 is open, whats the...Ch. 25 - Two identical resistors in series dissipate equal...Ch. 25 - When a large electric load such as a washing...Ch. 25 - How would you connect a pair of equal resistors...Ch. 25 - You have a battery whose voltage and internal...Ch. 25 - A student whos confused about voltage and current...Ch. 25 - A student whos confused about voltage and current...Ch. 25 - Sketch a circuit diagram for a circuit that...Ch. 25 - Sketch a diagram for a circuit consisting of two...Ch. 25 - Resistors R1 and R2 are in series, and the series...Ch. 25 - Whats the emf of a battery that delivers 27 J of...Ch. 25 - A 1.5-V battery stores 4.5 kJ of energy. How long...Ch. 25 - If you accidentally leave your car headlights...Ch. 25 - A 47-k resistor and a 39-k resistor are in...Ch. 25 - What resistance should you place in parallel with...Ch. 25 - A defective starter motor draws 300 A from a cars...Ch. 25 - Find the internal resistance of the battery in...Ch. 25 - When a 9-V battery is temporarily short-circuited,...Ch. 25 - You have a 1.0-, a 2.0-, and a 3.0- resistor. What...Ch. 25 - Find all three currents in the circuit of Fig....Ch. 25 - Prob. 26ECh. 25 - Find all three currents in the circuit of Fig....Ch. 25 - Prob. 28ECh. 25 - An ammeter with 100- resistance is inserted in the...Ch. 25 - A new mechanic foolishly connects an ammeter with...Ch. 25 - Show that the quantity RC has the units of time...Ch. 25 - If capacitance is in F, what will he the units of...Ch. 25 - Show that a capacitor is charged to approximately...Ch. 25 - An uncharged 10-F capacitor and a 470-k resistor...Ch. 25 - Find an expression for the voltage across the...Ch. 25 - In Fig. 25.28, all resistors have the same value,...Ch. 25 - In Fig. 25.28, take all resistors to be 1 k Find...Ch. 25 - Three 1.5-V batteries, with internal resistances...Ch. 25 - A partially discharged car battery can be modeled...Ch. 25 - Your company is overstocked on 50- , 12-W...Ch. 25 - Prob. 41PCh. 25 - How many 100-W, 120-V lightbulbs can be connected...Ch. 25 - You company is designing a battery-based backup...Ch. 25 - Take = 12 V and R1 = 270 in Fig. 25.4. (a) Whats...Ch. 25 - In Fig. 25.29, R1 is a variable resistor and the...Ch. 25 - In the circuit of Fig. 25.30, find (a) the current...Ch. 25 - In Fig. 25.30, how much power is dissipated in the...Ch. 25 - Whats the ammeter reading in Fig. 25.31? FIGURE...Ch. 25 - In Fig. 25.32, find the equivalent resistance...Ch. 25 - Find all three currents in the circuit of Fig....Ch. 25 - The voltage across the 30-k resistor in Fig. 25.33...Ch. 25 - In Fig. 25.34, what are the meter readings when an...Ch. 25 - A resistor draws 1.00 A from an ideal 12.0-V...Ch. 25 - The voltage across a charging capacitor in an RC...Ch. 25 - Youre designing an external defibrillator that...Ch. 25 - A capacitor is charged until it holds 5.0 J of...Ch. 25 - A capacitor is charged until it holds 5.0 J of...Ch. 25 - In Fig. 25.35 the 2.0-F capacitor is charged to...Ch. 25 - For the circuit of Example 25.6, take = 100 V,...Ch. 25 - In Fig. 25.36, the switch is initially open and...Ch. 25 - Prob. 61PCh. 25 - An ammeter with resistance 1.42 is connected...Ch. 25 - In Fig. 25.37, take 1 = 12.0 V, 2 = 6.00 V, 3 =...Ch. 25 - With all values except 2 as given in the preceding...Ch. 25 - The voltage on a charged capacitor is monitored...Ch. 25 - Find the resistance needed in an RC circuit to...Ch. 25 - Suppose the currents into and out of a circuit...Ch. 25 - Show that a battery delivers the most power when...Ch. 25 - Youre writing the instruction manual for a stereo...Ch. 25 - Show that only half the total energy drawn from a...Ch. 25 - Find the equivalent resistance between A and B for...Ch. 25 - Prob. 72PCh. 25 - Obtain an expression for the rate of increase...Ch. 25 - The circuit in Fig. 25.39 extends forever to the...Ch. 25 - Figure 25.40 on the next page shows the voltage...Ch. 25 - Figure 25.41 shows a portion of a circuit used to...Ch. 25 - An electrochemical impulse traveling along the...Ch. 25 - A parallel-plate capacitor has plates of area...Ch. 25 - Write the node and loop equations for the circuit...Ch. 25 - In Problem 60, take C1 = C2 = C, and find the...Ch. 25 - Youre about to purchase a battery. Normally,...Ch. 25 - In the circuit of Fig. 25.42 the switch is...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...
Additional Science Textbook Solutions
Find more solutions based on key concepts
5. Two stationary point charges of +3.00 nC and +2.00 nC are separated by a distance of 50.0 cm. An electron is...
College Physics (10th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
76. The minimum stopping distance for a car traveling at a speed of 30 m/s is 60 m, including the distance trav...
College Physics: A Strategic Approach (3rd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
Calculate the magnetic field strength needed on a 200-tum square loop 20.0 cm on a side to create a maximum tor...
University Physics Volume 2
What would it be like to walk on Mars today? Briefly discuss the conditions you would experience.
Life in the Universe (4th Edition)
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
- If A/m on plane z = 0, (a) Determine the current density, and (b) Verify Ampere's law by taking the circulation of H around the edge of the rectangle Show all calculation must. Don,t copy from another site or here. Answer must be correctarrow_forwardFor current to flow in a circuit, there needs to be a continuous path with no gaps. O True O Falsearrow_forwardConsider the circuit shown below. An ammeter is attached to it to measurecurrent through R4. Suppose the ammeter reads 2 A. (a) Find the current entering junction a. (b) Find the current through R1. (c) If point P of the circuit is grounded (that is VP = 0V), what is thevoltage at point Q?arrow_forward
- For problem 36 find the magnitude of the current through R1 in amps if the battery voltage E1 is 8.08 V and all other parameters in the problem are the same. (Answer in 5 sig. figs)arrow_forwardA 2.00-nF capacitor with an initial charge of 4.44 µC is discharged through a 1.75-kn resistor. (a) Calculate the current in the resistor 9.00 us after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that de > 0.) dt 96.95 This is the correct magnitude of the current mA (b) What charge remains on the capacitor after 8.00 µs? (c) What is the (magnitude of the) maximum current in the resistor? Aarrow_forwardA wire has a radius of 2.5 m. The current density carried by the wire is a function of distance from the center of the wire is given by J(r) = C exp(-r2/L2) (A/m2), where C = 7.6 A/m2, and L = 2.7 m. Calculate the total amount of current carried by the wire, in A. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward
- Consider a short cylinder with its axis parallel to the drift velocity. It has a cross-sectional area A, a length vd At, and a volume Avd At. If there are n charge carriers per volume, each of charge q, the charge in that cylinder is (charge)(carriers/volume)(volume), or AQ = (q)(n)(Avd At). Now we substitute this expression for AQ = Iat. The current density is J=nqvd. If there is more than one type of charge carrier, we simply add the %3D current densities for eeach type of charge carrier to find the total current density. Silicon is doped with aluminum until it has 5.0 x 1023 holes/m3 as its positive charge carriers and almost no free electrons. If the current density in the doped silicon is 16.0 A/m- î calculate the drift velocity of the holes. Use I and q= 1.6 x10-19C nq 8.0 x 10-4m/s 5.0 x 10 23m/s re 2.0 x 10-4m/s O. 1.6 x 10-19m/sarrow_forwardMy homework asks : " rest is given in the question. Can you help with my homework? Current through a conductor, I (t) = I0Over time according to e-tf-r relationIt decreases exponentially. Where / 0 (at t = O) is the initial current,r is a constant in unit of time. A fixed observation point inside the conductorLet's take it. How much load passes through this point between t = O and t = 3r?e = 2.718arrow_forwardThe level of liquid helium (temperature = 4 K) in its storage tank can be monitored using a vertically aligned niobium- titanium (NbTi) wire, whose length l spans the height of the tank. In this level-sensing setup, an electronic circuit Constant I maintains a constant electrical current I at all times in the Helium NbTi wire and a voltmeter monitors the voltage differ- ence V across this wire. Since the superconducting critical temperature for NbTi is 10 K, the portion of the wire immersed in the liquid helium is in the superconducting state, while the portion above the liquid (in helium vapor with temperature above 10 K) is in the normal state. Define f = x/l to be the fraction of the tank filled with liquid helium (Fig. 18–38) and Vo to be the value of V when the tank is empty (f = 0). Determine the relation between fand V (in terms of Vo). vapor (>10K) Liquid helium (=4K) FIGURE 18–38 Problem 91. Superconducting Normalarrow_forward
- In the circuit shown below & = 83.0 V, R, = 4.00 N, R, = 2.00 N, R, = 2.20 N, I̟ = 13.11 A, I̟ = 10.19 A, and I, = 8.32 A. Find the current through R, and R,, and the values of the resistors R, and R.. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) I2 A I, = A R, = R4 Ω R2 R3 R4 I4 ww R5 ww ww wwarrow_forwardRemembering the 'RO circuits" experiment, imagine that an uncharged capacitor and a resistor are serially connected as shown in the schematic drawing, where C=5 F, s=12V and R=800 ko. At t=0, the switch S is connected to the circuit. Find the magnitude of the current at t=4 s (in order to simplify your solutions, take e = 2,7 in your calculations). Rarrow_forwardEx. 16: A resistance of galvanometer is 4052 2. What shunt must be connected so that 1 % of the total current will flow through the galvanometer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY