Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 31, Problem 27P
(a)
To determine
The mutual inductance characterizing the emf induced in
(b)
To determine
The mutual inductance characterizing the emf induced in
(c)
To determine
The way in which the results of part (a) and part (b) can be compared.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = I0 sin ωt where I0 and ω are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b > a . Find the magnitude and direction of current induced in the outerloops at time t = 0 .
By how much is the approximation B = μ0 nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?
Self-inductance (L) of a 40.0 cm long solenoid containing N = 400 turns, and cross-sectional area of 5.00 x 10-4 m2, would be_______________. (Take the permeability of free space μμo = 4ππ x 10-7 Tm/A).
Group of answer choices
0.25 mH
1.20 mH
0.18 mH
0.44 mH
Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5P
Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Prob. 36APCh. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - Prob. 42APCh. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Prob. 47APCh. 31 - Prob. 48APCh. 31 - Prob. 49APCh. 31 - Prob. 50CPCh. 31 - Prob. 51CPCh. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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
- Show that the expression for the magnetic field of a toroid reduces to tlrat for the field of an infinite solenoid in the limit that the cenmal radius goes to infinity.arrow_forwardTwo identical long wires of radius a =1.53 mm are parallel and carry identical currents in opposite directions.Their center-to-center separation is d = 14.2 cm. Neglect the flux within the wires but consider the flux in the region between the wires.What is the inductance per unit length of the wires?arrow_forwardA rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B → (t) = C (x cos ωt)i ^ + (y sin ωt)k ^, with B → (t) in tesla. Determine the emf induced in the loop as a function of time.arrow_forward
- A solenoid of length 3.70 cm and diameter 0.760 cm is wound with 272 turns per centimeter. A) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in one of the windings? B) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in the entire solenoid?arrow_forwardA solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has length l2and radius R2. The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?arrow_forwardA solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?arrow_forward
- Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardA long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?arrow_forwardThe magnetic field strength at an arbitrary point PP on the axis of a circular loop of radius a� carrying current I� is given by Using this equation, find the magnetic field strength at the center of the solenoid’s axis for a solenoid of finite length l and cross-sectional radius a .arrow_forward
- A conducting rod spans a gap of length L = 0.065 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field with magnitude B = 0.75 T pointing into the paper is in the region. The rod is pulled to the right by an external force, and moves with constant speed v = 0.015 m/s. The resistance in the wire is R = 180Ω. Part (a) Express the magnitude of the magnetic flux going through the loop, Φ, in terms of B, a and L. Part (b) Express the change in the magnetic flux, ΔΦ, in terms of B, L, v and Δt. Part (c) Express the magnitude of the average emf induced in the loop, ε, in terms of B, L, v. Part (d) Calculate the emf, in volts. Part (e) Express the current induced in the loop, I, in terms of ε and R.arrow_forwardTwo solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 320 and 690 turns, respectively. A current of 3.40 A in solenoid A produces an average flux of 300 ?Wb through each turn of A and a flux of 90.0 ?Wb through each turn of B. (a) Calculate the mutual inductance of the two solenoids. mH(b) What is the inductance of A? mH(c) What is the magnitude of the emf that is induced in B when the current in A changes at the rate of 0.500 A/s? mVarrow_forwardA long wire of current I and a thin rectangular copper loop lie in the plane of the page. If the loop moves to the right at a constant velocity by an external force, what would be the direction of the induced current in the moving loop, clockwise or counterclockwise?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher: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, Technology ...
Physics
ISBN:9781305116399
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