Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 27, Problem 60EAP
The current in a wire at time t is given by the expression
a. Find an expression for the total amount of charge (in coulombs) that has entered the wire at time t. The initial conditions are
b. Graph Q 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 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.
What 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
R3
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
Chapter 27 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (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 through a conductor is modeled asQ(t)=(4.7)t4+(−1.2)t+(6.8) C What is the current at time t= 4 s?arrow_forwardAn electric current in a conductor varies with time according to the expression I(t) = 94 sin (180?t), 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 = 1/240 s?arrow_forwardAn electric current in a conductor varies with time according to the expression I(t) = 100sin(120лt), 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=1/240 s?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_forwardResistance in metals increases with increasing temperature according to the equation, ρ(T) = ρo(1 + α(T - To)) where α is the temperature coefficient of resistivity and ρo is the resistivity at temperature To. For a particular wire α = 9.5 × 10-3 1/°C and the resistivity is ρo = 4.5 × 10-7 Ω⋅m at To = 154 °C. a). Input an expression for the temperature T2 at which the resistance of a wire will be twice as high as at T0. b). If the wire is L = 1 m long with a radius of r = 1 cm, what is its resistance R, in Ω, at 2To?arrow_forwardThe 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.arrow_forward
- The quantity of charge through a conductor is modeled as Q = (3.00 mc/s4)t4 - (4.00 mc/s)t + 7.00 mc. What is the current (in A) at time t = 2.00 s?arrow_forwardThe amount of charge "q" that has passed through a conductor varies as a function of time according to the equation q (t) = 4 sin (2 Pi t) - 11 Cos (4 Pi t) + 6, where t is in seconds and q is C What is the instantaneous current that passes through the conductor at t = 12 s? NOTE: The angle of the trigonometric functions is given in radians.arrow_forwardThe electric charge that moves through a conductor varies in accordance with the equation q(t) =950t, where Q and t are given in μC and msec respectively. Calculate the current in A.arrow_forward
- Consider the circuit shown in the accompanying figure, where R₁ =13.0 22 and R₂ = 7.5 22. iz i4 1.592 -30V i3 Determine the current i4. Express your answer in A, to at least one digit after the decimal point. www www R₁ R₂ www www R₁ R₂ is R₂2.002 wwwwarrow_forwardAnswer must be in standard form scientific notation with SI units that do not have prefixes except for kg. Provide the answer with the correct amount of significant figures. Thank you so much I greatly appreciate itarrow_forwardA high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x103 A. If the conductor is copper with a free charge density of 6 x 1028 electrons/m3, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10−19 C).For this problem use scientific/exponential notation to represent your answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.arrow_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