Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 10th + WebAssign Printed Access Card for Serway/Jewett's Physics for Scientists and Engineers, 10th, Multi-Term
10th Edition
ISBN: 9781337888592
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 S 2
.
(b)
To determine
The mutual inductance characterizing the emf induced in S 1
.
(c)
To determine
The way in which the results of part (a) and part (b) can be compared.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Solenoid S1 has N1 turns, radius R1, and length ℓ. It is so long that its magnetic field is uniform nearly everywhere inside it and is nearly zero outside. Solenoid S2 has N2 turns, radius R2 < R1, and the same length as S1. It lies inside S1, with their axes parallel. (a) Assume S1 carries variable current i. Compute the mutual inductance characterizing the emf induced in S2. (b) Now assume S2 carries current i. Compute the mutual inductance to which the emf in S1 is proportional. (c) State how the results of parts (a) and (b) compare with each other.
PLS ANSWER WITHIN 10MINS
For a toroidal solenoid, suppose the number of turns is 291, the area is 4.89 cm 2, and the radius is 8.43 cm. The current in the toroidal solenoid increases uniformly from 0 A to 1.37 A in 3.28 us. Find the magnitude of the self-induced emf.
Final answer should be in two (2) decimal places.
For the final answer, express the unit in symbols. For example:
5.00 Kelvin should be expressed as 5.00 K
A solenoid (made as a long coil) is a type of electromagnet, the purpose of which is to generate a controlled magnetic eld through a coil wound into a tightly packed helix.
Now calculate the self-inductance if the number of windings are 100 of a 5.0 cm long solenoid with cross-sectional area of 0.30 cm2.
Chapter 31 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 10th + WebAssign Printed Access Card for Serway/Jewett's Physics for Scientists and Engineers, 10th, Multi-Term
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 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 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 - Show that i = Iiet/ is a solution of the...Ch. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - The switch in Figure P31.15 is open for t 0 and...Ch. 31 - Prob. 17PCh. 31 - Two ideal inductors, L1 and L2, have zero internal...Ch. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Complete the calculation in Example 31.3 by...Ch. 31 - Prob. 23PCh. 31 - A flat coil of wire has an inductance of 40.0 mH...Ch. 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 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 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 - Review. Consider a capacitor with vacuum between...Ch. 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 - You are working on an LC circuit for an experiment...Ch. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Review. The use of superconductors has been...Ch. 31 - Review. A fundamental property of a type 1...Ch. 31 - Prob. 49APCh. 31 - In earlier times when many households received...Ch. 31 - Assume the magnitude of the magnetic field outside...Ch. 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
- 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 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_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_forward
- By how much is the approximation B=0nI 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?arrow_forwardA long solenoid of radius a with n turns per unit length is carrying a tune-dependent current I(t)=I0sintwhere I0 and 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 m the outer loops at tune t=0.arrow_forwardA toroid of rectangular cross-section has height h = 0.0262 m, inner radius r₁ = 0.0223 m and outer radius r₂ = 0.0472 m. If it has N = 269 loops, calculate the total magnetic energy in the toroid if the current is i = 4.873 A. This may be done by finding the inductance, or by integrating the magnetic energy density. i Save for Later Submit Answerarrow_forward
- A long coaxial cable (Fig.) consists of two concentric cylindrical conductors with radii a and b, where b>> a. Its central conductor carries a steady current i, and the outer conductor provides the return path, (a) Calculate the energy stored in the magnetic field for a length l of such a cable. (b) What is the inductance of a length l of the cable? You want to wind a coil so that it has resistance but essentially no inductance. How would you do it? Question No- 03 (8 Marks) A student makes an electromagnet by winding 320 turns of wire around aarrow_forwardb' ε A solenoid has a length = 11.34 cm, a radius a = 1.85 cm, and 1627 turns. The solenoid has a net resistance R sol = 144.9 2. A circular loop with radius b = 3.77 cm is placed around the solenoid, such that it lies in a plane whose normal is aligned with the solenoid axis, and the center of the outer loop lies on the solenoid axis. The outer loop has a resistance Ro = 1651.6 2. At a time t = 0 s, the solenoid is connected to a battery that supplies a potential & = 34.95 V. At a time t = 2.58 μs, what current flows through the outer loop? Ax 1.4e-5 14x10-5arrow_forwardIn one form of Tesla coil (a high-voltage generator popular in science museums), a long solenoid with length l and cross-sectional area A is closely wound with N1 turns of wire. A coil with N2 turns surrounds it at its center. Find the mutual inductance M.arrow_forward
- A solenoid of radius 1.70 cm has 560 turns and a length of 25.0 cm. (a) Find its inductance. X You may have made an error in converting units or in keeping track of exponents. mH (b) Find the rate at which current must change through it to produce an emf of 90.0 mV. (Enter the magnitude.) A/sarrow_forwardA long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects have the same central axis. The radius of the ring is 10.0 cm, and the radius of the solenoid is 5.0 cm. (a) What is the emf induced in the ring when the current I through the solenoid is 5.0 A and changing at a rate of 100 A/s? (b) What is the emf induced in the ring when I = 2.0 A and dI/dt = 100 A/s? (c) What is the electric field inside thering for these two cases? (d) Suppose the ring is moved so that its central axis and the central axis of the solenoid are still parallel but no longer coincide. (You should assume that the solenoid is still inside the ring.) Now what is the emf induced in the ring? (e) Can you calculate the electric field in the ring as you did in part (c)?arrow_forwardAn electric field of 140 x10-6 V/m is induced within the loop of long solenoid with cross sectional area of 3.09 cm2. The radius of the loop is 4.61 cm. Calculate the number of turns if the current in the winding is increasing at a rate of 85 A/s. Final answer should be expressed in two (2) decimal places. Round up or down accordingly. For the final answer, please write/include the unit, express you answer in "Turns" For example: 5 Turns DO NOT answer in exponential form.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 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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning