•6 A capacitor with square plates of edgelength L is being discharged by a current of0.75 A. Figure 32-29 is a head-on view ofone of the plates from inside the capacitor.A dashed rectangular path is shown. IfL = 12 cm, W = 4.0 cm, and H = 2.0 cm,what is the value of $B ds around thedashed path?H!Figure 32-29

Answered: Image /qna-images/answer/74746d8d-fbf6-4c5d-8cb3-c25aa1211161.jpg

Answered: •6 A capacitor with square plates of…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: Electromagnetic Waves

Section: Chapter Questions

Problem 34.25P

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Integrated Concepts If electric and magnetic field strengths vary sinusoidally in time, being zero at t = 0, then E = E0 sin 2ft and B = B0 sin 2 ft. Let f = 1.00 GHz here. (a) When are the field strengths first zero? (b) When do they reach their most negative value? (c) How much time is needed for them to complete one cycle?
A particle in the cyclotron shown in Figure 28.16a gains energy qV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T=2=2mqB so the particles average rate of increase in energy is 2qVT=q2BVm Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the panicles path is given by drdt=1rVB (b) Describe how the path of the particles in Figure 28.16a is consistent with the result of part (a). (c) At what rate is the radial position of the protons in a cyclotron increasing immediately before the protons leave the cyclotron? Assume the cyclotron has an outer radius of 0.350 m, an accelerating voltage of V = 600 V, and a magnetic field of magnitude 0.800 T. (d) By how much does the radius of the protons path increase during their last full revolution? Figure 28.16 (a) A cyclotron consists of an ion source at P, two does D1 and D2 across which an alternating potential difference is applied, and a uniform magnetic field. (The south pole of the magnet is not shown.) (b) The first cyclotron, invented by E. O. Lawrence and M. S. Livingston in 1934.
A long, straight conducting wire crosses the center of an iron ring that is at rightangles to its plane. If the electric current in the conductor increases, can we say that an electric current has been “induced” in the ring? Justify your answer.
10-- Find the electromagnetic energy stored in the air gap between two very large magnetic pole pieces, one North, one South, each with an area of 10000 mm2. Assume the 0.05 T magnetic and electric 1000 V/m fields are uniform within the 3-cm gap. Show step by step solution.
EXAMPLE 31-8 ESTIMATE. A solar sail. Proposals have been made to use the radiation pressure from the Sun to help propel spacecraft around the solar system. (a) About how much force would be applied on a 1 km X 1 km highly reflective sail, and (b) by how much would this increase the speed of a 5000-kg spacecraft in one year? (c) If the spacecraft started from rest, about how far would it travel in a year?
EXAMPLE 31-5. Phone call time lag. You make a telephone call from New York to a friend in London. Estimate how long it will take the electrical signal generated by your voice to reach London, assuming the signal is (a) carried on a telephone cable under the Atlantic Ocean, and (b) sent via satellite 36,000 km above the ocean. Would this cause a noticeable delay in either case?
EXAMPLE 31-4. Cell phone antenna. The antenna of a cell phone is often 1/4 wavelength long. A particular cell phone has an 8.5-cm-long straight rod for its antenna. Estimate the operating frequency of this phone.
Physics In the figure a uniform electric field is directed out of the page within a circular region of radius R = 4.00 cm. The magnitude of the electric field is given by E = (3.50 × 10-3 V/m•s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)3.00 cm and (b)5.50 cm?
Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00 W/m2. (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection. (b) What is the maximum electric field strength at the safe intensity? (Note that early radar units leaked more than modern ones do. This caused identi?able health problems, such as cataracts, for people who worked near them.)
The magnetic field at all points within the cylindrical region whose cross-section is indicated in the accompanying figure starts at 1.0 T and decreases uniformly to zero in 20 s. What is the electric field (both magnitude and direction) as a function of r, the distance from the geometric center of the region?
Can an antenna be any length? Explain your answer.
Create Your Own Problem Consider electromagnetic fields produced by high voltage power lines. Construct a problem in which you calculate the intensity of this electromagnetic radiation in W/m2 based on the measured magnetic field strength of the radiation in a home near the power lines. Assume these magnetic field strengths are known to average less than a T. The intensity is small enough that it is difficult to imagine mechanisms for biological damage due to it. Discuss how much energy may be radiating from a section of power line several hundred meters long and compare this to the power likely to he carried by the lines. An idea of how much power this is can be obtained by calculating the approximate current responsible for T fields at distances of tens of meters.

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