Physics for scientists & engineers with modern physics
4th Edition
ISBN: 9780132273596
Author: GIANCOLI, Douglas C.
Publisher: Upper Saddle, N. J. : Pearson Prentice Hall, 2008.
expand_more
expand_more
format_list_bulleted
Question
Chapter 31, Problem 7P
(a)
To determine
Show that in the region between the plates the magnitude of the induced magnetic field is given by
(b)
To determine
Expression for the amplitude of
(c)
To determine
Plot
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that a parallel-plate capacitor has circular plates with radius R = 41 mm and a plate separation of 5.7 mm. Suppose also that a sinusoidal potential difference with a maximum value of 190 V and a frequency of 54 Hz is applied across the plates; that is,V = (190 V) sin[2π(54 Hz)t].Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R.
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?
Consider 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)
Chapter 31 Solutions
Physics for scientists & engineers with modern physics
Ch. 31.4 - Prob. 1AECh. 31.6 - Return to the Chapter-Opening Question, page 812,...Ch. 31.6 - What are the frequencies of (a) an 80-m-wavelength...Ch. 31.6 - Prob. 1DECh. 31.6 - If you are on the phone via satellite to someone...Ch. 31.6 - If your voice traveled as a sound wave, how long...Ch. 31 - An electric field E points away from you, and its...Ch. 31 - Prob. 2QCh. 31 - Prob. 3QCh. 31 - The electric field in an EM wave traveling north...
Ch. 31 - Is sound an electromagnetic wave? If not, what...Ch. 31 - Can EM waves travel through a perfect vacuum? Can...Ch. 31 - When you flip a light switch, does the overhead...Ch. 31 - Are the wavelengths of radio and television...Ch. 31 - What does the wavelength calculated in Example...Ch. 31 - Prob. 11QCh. 31 - In the electromagnetic spectrum, what type of EM...Ch. 31 - Can radio waves have the same frequencies as sound...Ch. 31 - Discuss how cordless telephones make use of EM...Ch. 31 - Can two radio or TV stations broadcast on the same...Ch. 31 - If a radio transmitter has a vertical antenna,...Ch. 31 - The carrier frequencies of FM broadcasts are much...Ch. 31 - A lost person may signal by flashing a flashlight...Ch. 31 - Determine the rate at which the electric field...Ch. 31 - Prob. 2PCh. 31 - At a given instant, a 2.8-A current flows in the...Ch. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - If the electric field in an EM wave has a peak...Ch. 31 - Prob. 9PCh. 31 - In an EM wave travelling west, the B field...Ch. 31 - Prob. 11PCh. 31 - Consider two possible candidates E(x, t) as...Ch. 31 - What is the frequency of a microwave whose...Ch. 31 - (a) What is the wavelength of a 25.75 109 Hz...Ch. 31 - How long does it take light to reach us from the...Ch. 31 - An EM wave has frequency 8.56 1014Hz. What is its...Ch. 31 - Electromagnetic waves and sound waves can have the...Ch. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - What is the minimum angular speed at which...Ch. 31 - Prob. 22PCh. 31 - The magnetic field in a traveling EM wave has an...Ch. 31 - Prob. 24PCh. 31 - A spherically spreading EM wave comes from a...Ch. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - A 15.8-mW laser puts out a narrow beam 2.00 mm in...Ch. 31 - Estimate the average power output of the Sun,...Ch. 31 - Prob. 30PCh. 31 - How practical is solar power for various devices?...Ch. 31 - The Arecibo radio telescope in Puerto Rico can...Ch. 31 - Estimate the radiation pressure due to a 75-W bulb...Ch. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - What size should the solar panel on a satellite...Ch. 31 - What is the range of wavelengths for (a) FM radio...Ch. 31 - Estimate the wavelength for 1.9-GHz cell phone...Ch. 31 - The variable capacitor in the tuner of an AM radio...Ch. 31 - A certain FM radio tuning circuit has a fixed...Ch. 31 - A satellite beams microwave radiation with a power...Ch. 31 - A 1.60-m-long FM antenna is oriented parallel to...Ch. 31 - Who will hear the voice of a singer first: a...Ch. 31 - Prob. 45GPCh. 31 - Prob. 46GPCh. 31 - A radio voice signal from the Apollo crew on the...Ch. 31 - Cosmic microwave background radiation fills all...Ch. 31 - What are E0 and B0 2.00 m from a 75-W light...Ch. 31 - Prob. 50GPCh. 31 - Prob. 51GPCh. 31 - How large an emf (rms) will he generated in an...Ch. 31 - The average intensity of a particular TV stations...Ch. 31 - A radio station is allowed to broadcast at an...Ch. 31 - A point source emits light energy uniformly in all...Ch. 31 - Suppose a 35-kW radio station emits EM waves...Ch. 31 - What is the maximum power level of a radio station...Ch. 31 - In free space (vacuum), where the net charge and...Ch. 31 - The metal walls of a microwave oven form a cavity...Ch. 31 - Imagine that a steady current I flows in a...Ch. 31 - Prob. 61GPCh. 31 - Suppose that a right-moving EM wave overlaps with...Ch. 31 - The electric and magnetic fields of a certain EM...
Knowledge Booster
Similar questions
- 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_forwardIf the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forwardThe magnetic flux through a metal ring varies with time t according to (B = at3 bt2, where (B is in webers, a = 6.00 s3, b = 18.0 s2, and t is in seconds. The resistance of the ring is 3.00 . For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.arrow_forward
- A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?arrow_forwardSuppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?arrow_forwardAn automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where theEarth’s horizontal magnetic field is 5.5105T . What is the maximum possible emf induced in the antenna due to this motion?arrow_forward
- A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?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 dBdtDR2D2 . ( Hint: To find the 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 “Ampere’s law for E”.)arrow_forwardShow that the magnetic field at a distance r from the axis of two circular parallel plates, produced by placing charge Q(t) on the plates is Bind=02rdQ(t)dtarrow_forward
- A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.arrow_forwardAn electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/Carrow_forwardA conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?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
Principles 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 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