Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 32.1, Problem 32.1CE
To calculate the magnetic flux through the rectangular loop in Figure 32.2, we used the cross-sectional area A of the solenoid in ΦB = BA (Eq. 32.1). Why didn’t we use the area of the rectangular loop?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The figure shows a circular region of radius R = 2.50 cm in which a uniform electric flux is directed out of the plane of the page. The total electric flux through the region is given by ΦE = (2.00 mV·m/s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)1.50 cm and (b)6.00 cm?
a long, straight copper wire (diameter 2.50 mm and resistance 1.00 ohm per 300 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire’s surface, calculate the magnitudes of (a) the electric field , (b) the magnetic field , and (c) the Poynting vector , and (d) determine the direction of S.
A spatially uniform magnetic field is restricted in a circular region of spacewith radius of 2.5 cm and has a constant direction; see figure below. If themagnetic field varies with time t as B(t) = (25 mT/s^2)t^2, what is the magnitude of the induced electric field at a distance of 4.00 cm from the center of the magnetic field region at t = 2 s?
Chapter 32 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 32.1 - To calculate the magnetic flux through the...Ch. 32.2 - Prob. 32.2CECh. 32.3 - Prob. 32.3CECh. 32.3 - Prob. 32.4CECh. 32.4 - Prob. 32.5CECh. 32.5 - Prob. 32.6CECh. 32.6 - Prob. 32.7CECh. 32.8 - Prob. 32.8CECh. 32.8 - Prob. 32.9CECh. 32 - A constant magnetic field of 0.275 T points...
Ch. 32 - Prob. 2PQCh. 32 - Prob. 3PQCh. 32 - Prob. 4PQCh. 32 - Prob. 5PQCh. 32 - Figure P32.6 shows three situations involving a...Ch. 32 - A rectangular loop of length L and width W is...Ch. 32 - The magnetic field through a square loop of wire...Ch. 32 - Prob. 9PQCh. 32 - Prob. 10PQCh. 32 - Suppose a uniform magnetic field is perpendicular...Ch. 32 - Prob. 12PQCh. 32 - A square conducting loop with side length a = 1.25...Ch. 32 - A The magnetic field in a region of space is given...Ch. 32 - A The magnetic field in a region of space is given...Ch. 32 - Prob. 16PQCh. 32 - Prob. 17PQCh. 32 - Prob. 18PQCh. 32 - A square loop with side length 5.00 cm is on a...Ch. 32 - A thin copper rod of length L rotates with...Ch. 32 - Figure P32.21 shows a circular conducting loop...Ch. 32 - Prob. 22PQCh. 32 - A square loop with side length L, mass M, and...Ch. 32 - Prob. 24PQCh. 32 - Prob. 25PQCh. 32 - Prob. 26PQCh. 32 - Prob. 27PQCh. 32 - A solenoid of area Asol produces a uniform...Ch. 32 - Two circular conductors are perpendicular to each...Ch. 32 - Two circular conducting loops labeled A and B are...Ch. 32 - Prob. 31PQCh. 32 - Prob. 32PQCh. 32 - Prob. 33PQCh. 32 - Prob. 34PQCh. 32 - Prob. 35PQCh. 32 - Find an expression for the current in the slide...Ch. 32 - The slide generator in Figure 32.14 (page 1020) is...Ch. 32 - Prob. 38PQCh. 32 - A thin conducting bar (60.0 cm long) aligned in...Ch. 32 - A stiff spring with a spring constant of 1200.0...Ch. 32 - A generator spinning at a rate of 1.20 103...Ch. 32 - Suppose you have a simple homemade AC generator...Ch. 32 - Prob. 43PQCh. 32 - Prob. 44PQCh. 32 - Prob. 45PQCh. 32 - Prob. 46PQCh. 32 - A square coil with a side length of 12.0 cm and 34...Ch. 32 - Prob. 48PQCh. 32 - Prob. 49PQCh. 32 - Prob. 50PQCh. 32 - Prob. 51PQCh. 32 - Prob. 52PQCh. 32 - Prob. 53PQCh. 32 - Prob. 54PQCh. 32 - Prob. 55PQCh. 32 - Prob. 56PQCh. 32 - Prob. 57PQCh. 32 - A step-down transformer has 65 turns in its...Ch. 32 - Prob. 59PQCh. 32 - Prob. 60PQCh. 32 - Prob. 61PQCh. 32 - Prob. 62PQCh. 32 - Prob. 63PQCh. 32 - A bar magnet is dropped through a loop of wire as...Ch. 32 - Prob. 65PQCh. 32 - Prob. 66PQCh. 32 - A circular coil with 75 turns and radius 12.0 cm...Ch. 32 - Each of the three situations in Figure P32.68...Ch. 32 - A square loop with sides 1.0 m in length is placed...Ch. 32 - Prob. 70PQCh. 32 - Two frictionless conducting rails separated by l =...Ch. 32 - Imagine a glorious day after youve finished...Ch. 32 - Prob. 73PQCh. 32 - A Figure P32.74 shows an N-turn rectangular coil...Ch. 32 - A rectangular conducting loop with dimensions w =...Ch. 32 - Prob. 76PQCh. 32 - A conducting rod is pulled with constant speed v...Ch. 32 - Prob. 78PQCh. 32 - A conducting single-turn circular loop with a...Ch. 32 - A metal rod of mass M and length L is pivoted...
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
- You are working at NASA, in a division that is studying the possibility of rotating small spacecraft using radiation pressure from the Sun. You have built a scale model of a spacecraft as shown in Figure P33.47. The central body is a spherical shell with mass m = 0.500 kg and radius R = 15.0 cm. The thin rod extending from each side of the sphere is of mass mr = 50.0 g and of total length = 1.00 m. At each end of the rod arc circular plates of mass mp = 10.0 g and radius rp = 2.00 cm, with the center of each plate located at the end of the rod. One plate is perfectly reflecting and the other is perfectly absorbing. The initial configuration of this model is that it is at rest, mounted on a vertical axle with very low friction. To begin the simulation, you expose the model to sunlight of intensity Is = 1 000 W/m2, directed perpendicularly to the plates, for a time interval of t = 2.0 min. The sunlight is then removed from the model. Determine the angular velocity with which the model now rotates about the axle. Figure P33.47arrow_forwardConsider the situation shown in the figure. A uniform electric field in the z-direction (towards you from the paper plane) with a value given by E =a.t and a uniform magnetic field in the z-direction with a value given by B=b.t are given. Both areas are limited to a circular region with radius R. If the magnitude of the electric field induced at point a=1V/m.s, b=1T/s and P on the circumference of the circle is 9000 V/m in 2.seconds,what is the magnitude of the magnetic field induced at point P at t =2 seconds? (in picoTesla) (hint:in the absence of free flow, you can use time dependent maxwell equation)arrow_forwardFigure P32.21 shows a circular conducting loop with a 5.00-cm radius and a total resistance of 1.30 placed within a uniform magnetic field pointing into the page. a. What is the rate at which the magnetic field is changing if a counterclockwise current I = 4.60 102 A is induced in the loop? b. Is the induced current caused by an increase or a decrease in the magnetic field with time?arrow_forward
- A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?arrow_forwardA time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dB dt D R2 − D2 . (Hint: To find the emf between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampère’s law for E.”)arrow_forwardA flat square surface with side length 4.50cm is in the xy -plane at z = 0. Calculate the magnitude of the flux through this surface produced by a magnetic field B =(0.250T)i^+(0.275T)j^+(0.450T)k^. Express your answer in webers .arrow_forward
- A very long solenoid of inner radius 2.75 cm creates an oscillating magnetic field ? of the form ?=?maxcos(??) For this solenoid, ?max=0.00275 T and ?=374 rad/s. What is the maximum value ?max of the induced electric field at a perpendicular distance 1.15 cm from the axis of the solenoid and near the center of the solenoid's length? ?max=??? What is the maximum value of the induced electric field ?max at a perpendicular distance 5.85 cm from the axis of the solenoid and near the center of the solenoid's length? ?max=???arrow_forwardA capacitor with parallel circular plates of radius R= 1.20 cm is discharging via a current of 12.0 A. Consider a loop of radius R/3 that is centered on the central axis between the plates. (a) How much displacement current is encircled by the loop? The maximum induced magnetic field has a magnitude of 12.0 mT. At what radius (b) inside and (c) outside the capacitor gap is the magnitude of the induced magnetic field 3.00 mT?arrow_forwardA circular region of radius R = 3.00cm has a uniform electric flux directed out of the plane of the page. What is the magnitude of the induced magnetic field at a radial distance r = 2.00cm if :(a) the electric flux is of the form Φ? = (3.00 mV ⋅ m/s)t (b) the electric field is of the form E = (4.50 × 10−3 V ⋅ m/s)t (c) the electric field is of the form ? = (0.500 V/m⋅s ) (1-r/R )t.arrow_forward
- When the Hemholtz distance condition is satisfied the second derivative of the magnetic field with respect to z vanishes or becomes zero at the center ( point P). Show that both d2Bz/dz2 = 0 and d3Bz/dz3 = 0 at point P.arrow_forward32.2.2 The electric field in a sinusoidal electromagnetic wave in vacuum is given by E→(y, t)=i(2.45×106 V/m)cos[(6.50×106 rad/m)y−ωt] Find (a) the wavelength, (b) the angular frequency ωω, and (c) the direction of wave propagation. (d) Write the wave function for the magnetic field.arrow_forwardA circular loop lying on z = 2 m with its center is coinciding with z axis is carrying a current of 20 Amps in −eφ direction . The loop has a radius of a = 3 m, find the magnetic field intensity (H ) at z = 2 m.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 LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY