You wish to temporarily mount a wire to serve as the antenna of your transmitter in your laboratory. It is necessary that this be straight and as long as possible. You recall that when you had the floor covered required exactly 140 square metres of carpet and that the long side of the room was 14 metres. You also know that the height of the room is 12 metres. You go to the store room to get the wire but find that it can only be supplied in lengths that are an integral multiple of 1 meter. What length of wire do you take back to the lab?
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- We drop a magnet with mass 2 kg through a conducting loop starting from height 2.35 meters above the ground. The resistance of the loop plus the induced current dissipates some of the energy as heat. We observe the mass landing with a speed of 0.6 meters/second. How much energy was lost to heat? You may take g to be 9.8 m/s^2 and ignore all other forces than gravity and electricity + magnetism. JoulesHow much does it cost to watch a complete 19 hour long World Series on a 193.0 W television set? Assume that electricity costs $0.070/kWh. centsPr1. The figure shows the cross-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m-1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle a = 60° to its initial direction. 60 Av a) Determine the sign of the charge of the particle. b) What is the radius of the particle's trajectory? c) Find the charge-to-mass (Q/m) ratio of the particle. (The magnetic permeability of vacuum is µo = 47 - 10-7 Vs/Am.)
- Patients undergoing an MRI occasionally report seeing flashes of light. Some practitioners assume that this results from electric stimulation of the eye by the emf induced by the rapidly changing fields of an MRI solenoid. We can do a quick calculation to see if this is a reasonable assumption. The human eyeball has a diameter of approximately 25 mm. Rapid changes in current in an MRI solenoid can produce rapid changes in field, with AB/At as large as 60 T/s. For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. loop circling the Express your answer with the appropriate units. E = Submit Part B BHA μÅ S Value Request Answer t CE ? Units How does this compare to the 15 mV necessary to trigger an action potential? This amount of emf is absolutely inadequate to trigger an action potential. O This amount of emf is almost adequate to trigger an action potential. O This amount of emf is inadequate to trigger an action potential. O This…H3.In a particular area of the country, electrical energy costs $0.18 per kilowatt-hour. (Round your answers, in dollars, to at least two decimal places.) (a) How much does it cost to operate an old-style incandescent 60.0-W light bulb continuously for 24 hours? $ (b) A modern LED light bulb that emits as much visible light as a 60.0-W incandescent only draws 8.50 W of power. How much does it cost to operate this bulb for 24 hours? $ (c) A particular electric oven requires a potential difference of 220 V and draws 20.0 A of current when operating. How much does it cost to operate the oven for 3.90 hours? $
- The speed of light in vacuum is defined to be c = 299,792,458 m/s = (1/square root ?0?0). The permeability constant of vacuum is defined to be ?0 = 4? ✕ 10−7 N · s2/C2. Use these definitions to calculate the value of ?0, the permittivity of free space, to at least eight significant figures. (Enter your answer in C2/(N · m2).) C2/(N · m2)A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The coil has a radius of 0.25 m and consists of 450 turns. The transmitted radio wave has a frequency of 1.2 MHz. The magnetic field of the wave is parallel to the normal to the coil and has a maximum value of 2.0X10 raise to power -13 T. Using Faraday’s law of electromagnetic induction and the fact that the magnetic field changes from zero to its maximum value in one-quarter of a wave period, find the magnitude of the average emf induced in the antenna during this time.A laptop computer communicates with a router wirelessly, by means of radio signals. The router is connected by cable directly to the internet. The laptop is 7.9 m from the router, and is downloading text and images from the internet at an average rate of 210 Mbps, or 210 megabits per second. (A bit, or binary digit, is the smallest unit of digital information, 1 megabit per second is 1x10 bits per second.) On average, how many bits are downloaded to the laptop in the time it takes the wireless signal to travel from the router to the laptop? Number eTextbook and Media Save for Later Units d Attempts: 0 of 10 used Submit Answer
- Patients undergoing an MRI occasionally report seeing flashes of light. Some practitioners assume that this results from electric stimulation of the eye by the emf induced by the rapidly changing fields of an MRI solenoid. We can do a quick calculation to see if this is a reasonable assumption. The human eyeball has a diameter of approximately 25 mm. Rapid changes in current in an MRI solenoid can produce rapid changes in field, with ΔB/Δt as large as 50 T/s. What emf would this induce in a loop circling the eyeball? How does this compare to the 15 mV necessary to trigger an action potential?You are working for SETI, the Search for Extraterrestrial Intelligence. One day, you receive a radio communication from an alien intelligence. Although you cannot understand their language, they have included some photos from an I Love Lucy episode. The photos allow you to determine that it is the episode in which Lucy makes a television commercial on Vitameatavegamin. This episode first aired on CBS on May 5, 1952. Before running to your supervisor to tell him the news, you quickly determine how far away in light-years the alien civilization is. (Enter the maximum possible distance.) light-years Need Help? Read ItAn induction furnace uses electromagnetic induction to produce eddy currents in a conductor, thereby raising the conductor’s temperature. Commercial units operate at frequencies ranging from 60 Hz to about 1 MHz and deliver powers from a few watts to several megawatts. Induction heating can be used for warming a metal pan on a kitchen stove. It can be used to avoid oxidation and contamination of the metal when welding in a vacuum enclosure. To explore induction heating, consider a flat conducting disk of radius R, thickness b, and resistivity ρ. A sinusoidal magnetic field Bmax cos ωt is applied perpendicular to the disk. Assume the eddy currents occur in circles concentric with the disk. (a) Calculate the average power delivered to the disk. (b) What If? By what factor does the power change when the amplitude of the field doubles? (c) When the frequency doubles? (d) When the radius of the disk doubles?