Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780133953145
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 27, Problem 59EAP
The total amount of charge that has entered a wire at time t is given by the expression
a. Find an expression for the current in the wire at time t.
b. What is the maximum value of the current?
c. Graph I versus t for the interval
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The total amount of charge that has entered a wire at time t is Q(t) = (27 C) (1. – e-t/2.1), with t in seconds and t ≥ 0.
a. Graph Q vs t for the interval 0 ≤ t ≤ 10 s.
b. Find an expression for the current in the wire at time t.
c. What is the maximum value of the current?
d. Graph the current in the wire as a function of time for the same interval as in part a.
The current in a wire at time t is given by the expression I(t) = (2.4 A) e−t/(2.3 µs), where t is in µs.
a. Graph I vs t for the interval 0 ≤ t ≤ 10 μs.
b. Find an expression for the total amount of charge that has entered the wire at time t if Q(0) = 0 C.
c. Graph the total amount of charge that has entered the wire as a function of time for the same interval as in part a.
A charge of Q = 1.1 C passes through a wire every t = 1.5 s.
a.Input an expression for the current, I, in the wire.
b. What is the current in amperes?
c. What is the current, in milliamps?
Chapter 27 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - The electron drift speed in a wire is exceedingly...Ch. 27 - Prob. 4CQCh. 27 - Prob. 5CQCh. 27 - All the wires in FIGURE Q27.6 are made of the same...Ch. 27 - Both batteries in FIGURE Q27.7 are ideal and...Ch. 27 - Both batteries in FIGURE Q27.8 are ideal and...Ch. 27 - The wire in FIGURE Q27.9 consists of two segments...Ch. 27 - Prob. 10CQ
Ch. 27 - ll. The wires in FIGURE Q27.11 are all made of the...Ch. 27 - Which, if any, of these statements are true? (More...Ch. 27 - Prob. 1EAPCh. 27 - Prob. 2EAPCh. 27 - .0 × 1016 electrons flow through a cross section...Ch. 27 - Prob. 4EAPCh. 27 - Prob. 5EAPCh. 27 - Prob. 6EAPCh. 27 - Prob. 7EAPCh. 27 - Prob. 8EAPCh. 27 - Prob. 9EAPCh. 27 - Prob. 10EAPCh. 27 - Prob. 11EAPCh. 27 - The current in an electric hair dryer is 10.0 A....Ch. 27 -
13. When a nerve cell fires, charge is...Ch. 27 - Prob. 14EAPCh. 27 - Prob. 15EAPCh. 27 - Prob. 16EAPCh. 27 - Prob. 17EAPCh. 27 - Prob. 18EAPCh. 27 - Prob. 19EAPCh. 27 - Prob. 20EAPCh. 27 - Prob. 21EAPCh. 27 - Prob. 22EAPCh. 27 - Prob. 23EAPCh. 27 - 24. The two segments of the wire in FIGURE EX27.24...Ch. 27 - A 1.5 V battery provides 0.50 A of current. a. At...Ch. 27 - Prob. 26EAPCh. 27 - Prob. 27EAPCh. 27 - Prob. 28EAPCh. 27 - Prob. 29EAPCh. 27 - Prob. 30EAPCh. 27 - Prob. 31EAPCh. 27 - Prob. 32EAPCh. 27 - Prob. 33EAPCh. 27 - Prob. 34EAPCh. 27 - Prob. 35EAPCh. 27 - Prob. 36EAPCh. 27 - Prob. 37EAPCh. 27 - Prob. 38EAPCh. 27 - Prob. 39EAPCh. 27 - Prob. 40EAPCh. 27 - Prob. 41EAPCh. 27 - Prob. 42EAPCh. 27 - Prob. 43EAPCh. 27 - Prob. 44EAPCh. 27 - Prob. 45EAPCh. 27 - Prob. 46EAPCh. 27 - Prob. 47EAPCh. 27 - Prob. 48EAPCh. 27 - Prob. 49EAPCh. 27 - Variations in the resistivity of blood can give...Ch. 27 - The conducting path between the right hand and the...Ch. 27 - The conductive tissues of the upper leg can be...Ch. 27 - The resistivity of a metal increases slightly with...Ch. 27 - Prob. 54EAPCh. 27 - You need to design a 1.0 A fuse that “blows” if...Ch. 27 - I A hollow metal cylinder has inner radius a....Ch. 27 - A hollow metal sphere has inner radius a, outer...Ch. 27 - The total amount of charge in coulombs that has...Ch. 27 - The total amount of charge that has entered a wire...Ch. 27 - The current in a wire at time t is given by the...Ch. 27 - The current supplied by a battery slowly decreases...Ch. 27 - The two wires in FIGURE P27.62 are made of the...Ch. 27 - What diameter should the nichrome wire in FIGURE...Ch. 27 - An aluminum wire consists of the three segments...Ch. 27 - A wire of radius R has a current density that...Ch. 27 - A 0.60 -mm-diameter wire made from an alloy (a...Ch. 27 - A 20 -cm-long hollow nichrome tube of inner...Ch. 27 - Prob. 68EAPCh. 27 - Prob. 69EAPCh. 27 - Prob. 70EAPCh. 27 - Prob. 71EAPCh. 27 - Prob. 72EAPCh. 27 - Prob. 73EAPCh. 27 - Prob. 74EAPCh. 27 - Prob. 75EAPCh. 27 - Prob. 76EAP
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
- The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density?arrow_forwardWhat is the total current (in A) passing through the circuit if V = 12 V, R1 = 40 Q, R2 = 20 Q, and R3 = 40 0? Give your answer as only the numerical value in the SI units specified. e is interpreted as x10^ for use with large or small values; 1.01e2 is interpreted as 1.01 x 104. R2 R1 R3arrow_forwardp versus T. The figure shows the behavior of the resistivity p of a material Z as a function of temperature T. If a constant electric field is maintained inside it, which of the following statements is/are TRUE P. about the metal? I. The current density in metal Z increases with increasing tempera- -T To ture. II. Its resistivity at T = T, is Po. III. Metal Z becomes a better conductor with increasing temperature. A. I only В. П only C. I and II D. II and IIIarrow_forward
- An electric current in a conductor varies with time according to the expression I(t) = 90 sin (90πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/120 s? The charge is the integral of the current. C Need Help? Read It Watch Itarrow_forward1. A hollow cylinder of length L, inner radius R1 , and radius R3 is filled with two different materials. From R1 to R2, the space is filled with a material of resistivity p1 . From R2 to R3 , the space is filled with material of resistivity p2 . a) Derive an equation for the resistance of this structure as current flows from R1 to R3 (ALONG the radial direction, NOT along the length). Ignore edge effects. b) If the total voltage across the object is Vo, find an expression for the current density along the objects ( i.e. find J(r)). Take V= Vo at R1 and V=0 at R3arrow_forwardAn unknown wire in a circuit has a circular cross-section with diameter 4.8 mm. It carries a current of 2.1 mA. A. What is the current density, in milliamperes per square centimeter, in this wire? B. If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carries per cubic centimeter? C. If the conductivity in this wire is 3.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds?arrow_forward
- (1) What is a definition of electric current? Label the variables. (2) Suppose that 1016 electrons pass through a cross-section of a wire each second. What is the current in the wire? (3) The current in a wire varies with time according to the relation / = 5+3t where I is in amperes andt is in seconds. What is the number of coulombs of charge that pass a cross section of the wire between t=3s and t=5s?arrow_forwardA 1.4×10 V/m electric field creates a 3.5x10¹7 elec/s current in a 1.2-mm-diameter aluminum wire. ▼ Part A What is the drift speed? Express your answer with the appropriate units. vd = Submit Part B Value T= Request Answer Units What is the mean time between collisions for electrons in this wire? Express your answer with the appropriate units. Value ? Units ?arrow_forwardA 1.7×10-³ V/m electric field creates a 3.5×1017 elec/s current in a 1.1-mm-diameter aluminum wire. Part A What is the drift speed? Express your answer with the appropriate units. vd = Submit Part B T= HÅ Value Submit Request Answer What is the mean time between collisions for electrons in this wire? Express your answer with the appropriate units. μA Value Request Answer pond Units Box Units ? ?arrow_forward
- An electric current of I = 0.266 A runs though a wire. How many electrons flow past a particular point in the wire in a time of t = 191 seconds? Express your answer in scientific notation using the "e" format, and keep 3 significant figures.arrow_forwarda circuit with three resistors, R1 = 250 ohms, R2 =150 ohms, and R3 = 350 ohms, connected in parallel with a 24 V battery. What's the total current supplied by the battery.A. Find the current through each resistor.arrow_forwardA ΔV = 2.9 V battery loses E = 6.5 J of energy each day (t = 24 hrs) powering a cell phone.Randomized VariablesΔV = 2.9 VE = 6.5 J a. Input an expression for the average current, I, supplied to the phone. b. What is the current, in amperes?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
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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