4) i) A very long wire carries current / Calculate the induced voltage e of the metal bar whose length is L andmoving with velocity v showed in figure 4. Express your answer by using given parametersd3Figure 4ii) Just show induced current directions on figure 5 by using Lenz's law. Current I is constant andwire is very longloop 1loop 2loop 3loop 4Figure 5

Given information: The current passing through the wire, I The length of the metal bar, L The…

Answered: 4) i) A very long wire carries current…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 44P: In the accompanying figure, the rails, connecting end piece, and rod all have a resistance per unit...

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A person who works with large magnets sometimes places her head inside a strong field. She reports feeling dizzy as she quickly turns her head. How might this be associated with induction?
Integrated Concepts One long straight wire is to be held directly above another by repulsion between 1heir currents. The lower wire carries 100 A and the wire 7.50 cm above it is 10gauge (2.588 mm diameter) copper wire. (a) What current must flow in the upper wire, neglecting the Earth’s field? (b) What is the smallest current if the Earth’s 3.00105T field is parallel to the ground and is not neglected? (c) Is the supported wire in a stable or unstable equilibrium if displaced vertically? If displaced horizontally?
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 conducting sheet lies in a plane perpendicular to a magnetic field B that is below the sheet. If B oscillates at a high frequency and the conductor is made of a material of low resistivity, the region above the sheet is effectively shielded from B . Explain why. Will the conductor shield this region from static magnetic fields?
In the accompanying figure, the rails, connecting end piece, and rod all have a resistance per unit length of . The rod moves to the left at v = 3.0 m/s. If everywhere in the region, what is tire current in the circuit (a) when a = 8.0 cm? (b) when a = 5.0 cm ? Specify also the sense of the current flow.
You intend to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region with the magnetic field to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientation
A spacecraft orbiting the Earth has a coil of wire in it. An astronaut measures a small current in the coil, although there is no battery connected to it and there are no magnets in the spacecraft. What is causing the current?
A cyclometer is a device mounted on a bicycle that records and displays trip information such as elapsed time, distance traveled, and average speed. Modern versions employ small magnets attached to a spoke on either the front or rear wheel and a sensor located on the front fork or rear frame. As the magnet is carried past the detector once each wheel revolution, it produces an electrical pulse that is recorded and logged by an integrated circuit in the device. The distance traveled equals the total number of revolutions multiplied by the circumference of the wheel. (a) A typical mountain bike has a wheel diameter of 26 in. How far will a cyclist have traveled in both miles and kilometers if her cyclometer indicates that her front wheel has made 25,000 revolutions during her trip? (b) If the cyclometer clock shows that the elapsed time for the trip was 2 hours and 40 minutes, what was the rider’s average speed during this period?
Explain how you could thaw out a frozen water pipe by wrapping a coil carrying an alternating current mound it. Does it matter whether or not the pipe is a conductor? Explain.
Explain how magnetic flux can be zero when the magnetic field is not zero.
Integrated Concepts The Tethered Satellite discussed in this module is producing 5.00 kV, and a current of 10.0 A flows. (a) What magnetic drag force does this produce if the system is moving at 7.80 km/s? (b) How much kinetic energy is removed from the system in 1.00 h, neglecting any change in attitude or velocity during that time? (c) What is the change in velocity if the mass of the system is 100,000 kg? (d) Discuss the long term consequences (say, a week-long mission) on the space shuttle’s orbit, noting what effect a decrease in velocity has and assessing the magnitude of the effect.
Can an antenna be any length? Explain your answer.

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