Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 27, Problem 58EAP
The total amount of charge in coulombs 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. Graph I versus I 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 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.
An electric current in a conductor varies with time according to the expression I(t) = 90 sin (90nt), 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?
5.81
X
The charge is the integral of the current. C
Need Help?
Watch It
Read It
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.
Chapter 27 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (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
- 1.15 When a car has a dead battery, it can often be started by connecting the battery from another car across its terminals. The positive terminals are connected together as are the negative terminals. The connec- Si tion is illustrated in Fig. P1.15. Assume the current i in Fig. P1.15 is measured and found to be 40 A. a) Which car has the dead battery? b) If this connection is maintained for 1.5 min, how much energy is transferred to the dead battery? Figure P1.15 12V 12Varrow_forwardA section of iron wire having a diameter of 0.030 inch is measured to have a resistance of 2500 Ω (at a temperature of 20°C).a. Determine the cross-sectional area in square meters and in square millimeters.(Note: 1 inch = 2.54 cm = 25.4 mm)b. Calculate the length of the wire in meters.arrow_forwardA 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?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_forwardConsider the circuit shown in the figure. Take R1=2R, R2=R and R3=R. Find the magnitude of the current passing through the resistor R1 in terms of V/R. Express your answer using one decimal place. 2V R1 V V R3 R2arrow_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_forward
- A copper wire has a square cross section 2.3 mm on a side. The wire is 3.7 m long and carries a current of 4.0 A. The density of free electrons is 8.5 x 1028 m-3.arrow_forwardConsider the circuit shown in the figure. Take R,=R, R2=2R and R3=R. Find the magnitude of the current passing through the resistor R, in terms of V/R. Express your answer using one decimal place. 3V R1 4V R2 R3arrow_forwardThe figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.30 A. The radius of cross-section A1 is r1 = 0.510 cm. What is the magnitude (A/m2) of the current density across A1? Since the radius r2 at A2 is larger than the radius r1 at A1. will the current and current density at A2 larger, smaller, or the same? Assume A2 = 5A1. What is the radius, the current, and the current density at A2?arrow_forward
- In the circuit shown, the potential difference VA = VB = 46.0 V and the resistance R1 = R2 = R3 = R4 = 155 Ohms. The arrows for currents IA and IB indicate the direction of positive current flow. The arrows do not necessarily indicate the direction that the current flows. Find IA Find IBarrow_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_forwardConsider the circuit shown in (Figure 1). The batteries have emfs of E = 9.0 V and E2 = 12.0 V and the resistors have values of R1 = 28 N, R2 = 68 N, and Rз 3 34 N. Part C Determine the magnitudes of the currents in each resistor shown in the figure. Assume th resistance r = 1.0 N. Express your answers using two significant figures separated by commas. Templates Symbols undo rédo reset keyboard shortcuts help ΑΣΦ Figure I1, I2, I3 = А 1 of 1 > Submit Previous Answers Request Answer R1 X Incorrect; Try Again; 3 attempts remaining Ej R2 Part D E2= R3 Determine the directions of the currents in each resistor. Assume that each battery has inarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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