3. A toroid of inner radius R1 and outer radius R2 is such that any point P, in the toroidal axis is at a distance r from its geometric center, C. Let N be the total number of turns. a. What is the magnetic field at point P. b. Suppose the toroid is abruptly cut long the blue line at a distance ( as measured along the toroidal axis) of a quarter of the circumference away from P. By doing so, the toroid has been transformed into a solenoid. For this purpose, assume that the toroid is thin enough that the values of the inner and outer radius, as well as r, are close though not necessarily equal. toroidal Onxis solenoid of N tms

3. A toroid of inner radius R1 and outer radius R2 is such that any point P, in the toroidal axis is at a distance r from its geometric center, C. Let N be the total number of turns. a. What is the magnetic field at point P. b. Suppose the toroid is abruptly cut long the blue line at a distance ( as measured along the toroidal axis) of a quarter of the circumference away from P. By doing so, the toroid has been transformed into a solenoid. For this purpose, assume that the toroid is thin enough that the values of the inner and outer radius, as well as r, are close though not necessarily equal. toroidal Onxis solenoid of N tms

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 98AP: Unreasonable results To construct a non-mechanical water meter, a 0.500-T magnetic field is placed...

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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?
(a) An oxygen16 ion with a mass at 2.661026kg travels at 5.00106m/s perpendicular to a 1.20T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive charge is on the ion? (b) What is the radio of this charge to the charge of an electron? (c) Discuss why the radio found in (b) should be an integer.
Unreasonable results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50-T magnetic field travels in a circular path of radius 16.0 mm. (a) What is the charge of the particle? (b) What is unreasonable about this result? (c) Which assumptions are responsible?
Scientific work is currently under way to determine whether weak oscillating magnetic fields can affect human health. For example, one study found that drivers of trains had a higher incidence of blood cancer than other railway workers, possibly due to long exposure to mechanical devices in the train engine cab. Consider a magnetic field of magnitude 1.00 103 T, oscillating sinusoidally at 60.0 Hz. If the diameter of a red blood cell is 8.00 m, determine the maximum emf that can be generated around the perimeter of a cell in this field.
Unreasonable results To construct a non-mechanical water meter, a 0.500-T magnetic field is placed across the supply water pipe to a home and the Hall voltage is recorded, (a) Find the flow rate through a 3.00-cm-diameter pipe if the Hall voltage is 60.0 mV. (b) What would the Hail voltage be for the same flow rate through a 10,0-cm- diameter pipe with tire same field applied?
Figure P31.13 shows a uniform magnetic field. a. Can you find an Amprian loop that gives a circulation integral of zero? If so, draw the loop and the field. If not, explain why not. b. Can you find an Amprian loop that gives a nonzero circulation integral? If so, draw the loop and the field. If not, explain why not. Figure P31.13
A particle with electric charge is fired into a region of space where the electric field is zero. It moves in a straight line. Can you conclude that the magnetic field in that region is zero? (a) Yes, you can. (b) No; the field might be perpendicular to the particles velocity. (c) No; the field might be parallel to the particles velocity. (d) No; the particle might need to have charge of the opposite sign to have a force exerted on it. (e) No; an observation of an object with electric charge gives no information about a magnetic field.
A cosmic ray electron moves at 7.50106m/s perpendicular to the Earth's magnetic field at an altitude where field strength is 1.00105T. What is the radius of the circular pain the electron follows?
Inside a motor, 30.0 A passes through a 250-turn circular loop that is 10.0 cm in radius. What i5 the magnetic field strength created at its center?
When a magnet is thrust into a coil as in Figure 23.4(a), what is the direction of the louse exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?
What force is exerted on the water in an MHD drive utilizing a 25.0-cm-diameter tube, it 100-A current is passed across the tube that is perpendicular to a 2.00T magnetic field? (The relatively small size of this force indicates the need for very large currents and magnetic fields to make practical MHD drives.)