A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates in the presence of a uniform magnetic field of magnitude 0.800 T. The coil has 72 turns of wire, and is 2.49 cm wide by 4.21 cm long. When the coil is oriented so that the plane of the rectangle is perpendicular to the magnetic field, it carries a current of 10.5 mA, and its magnetic dipole moment points in the opposite direction of the magnetic field. The coil then rotates one half revolution, and the direction of its dipole moment is then flipped so that the process repeats itself. In this way, the coil continues to rotate at an angular speed of 3.48 × 103 rev/min. (a) What is the maximum torque acting on the coil (in N • m)? (Enter the magnitude.) N. m (b) What is the peak power output of the motor (in W)? (c) How much work (in J) is performed by the magnetic field on the rotor in every full revolution? (d) What is the average power of the motor (in W)? W

A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates in the presence of a uniform magnetic field of magnitude 0.800 T. The coil has 72 turns of wire, and is 2.49 cm wide by 4.21 cm long. When the coil is oriented so that the plane of the rectangle is perpendicular to the magnetic field, it carries a current of 10.5 mA, and its magnetic dipole moment points in the opposite direction of the magnetic field. The coil then rotates one half revolution, and the direction of its dipole moment is then flipped so that the process repeats itself. In this way, the coil continues to rotate at an angular speed of 3.48 × 103 rev/min. (a) What is the maximum torque acting on the coil (in N • m)? (Enter the magnitude.) N. m (b) What is the peak power output of the motor (in W)? (c) How much work (in J) is performed by the magnetic field on the rotor in every full revolution? (d) What is the average power of the motor (in W)? W

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A coil has 250 turns enclosing an area of 11.8 cm2 . In a physics laboratory experiment, the coil is rotated during the time interval 0.045 s from a position in which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of each turn is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.40×10−5 T . What is the magnitude of the magnetic flux through one turn of the coil before it is rotated? What is the magnitude of the magnetic flux through one turn of the coil after it is rotated?
At a particular point on Earth, the magnitude of the Earth's magnetic field is 2.50 ✕ 10−5 T. At this point, the field through a small square loop is essentially uniform. The area of the loop is 40.0 cm2. What is the magnitude of the magnetic flux (in T · m2) through the loop when the loop is at the following orientations? (a) the magnetic field is perpendicular to the plane of the loop (b)the magnetic field and the normal to the plane of the loop are at a 23.0° angle (c) the magnetic field and the normal to the plane of the loop are at a 90.0° angle
Doubly-ionized particles with an atomic mass of 59.4 u are moving due N at a speed of 7.78 x 105 m/s when they enter a uniform magnetic field of strength, B = 35.5 mT. The ions, which are moving perpendicular to the field, follow a circular path of radius, r, and travel north a distance, h = 2.02 m, before leaving the field at an angle, 0, as shown in the figure. (a) What is the radius of the ions' circular path? m (b) At what angle do the ions leave the field? 0 = h 2
Helmholtz coils are frequently used in experiments because they create a uniform magnetic field about their central axis. For example, they are traditionally used in the experiment for the measurement of the charge-to-mass ratio of the electron. Helmholtz coils are two coils separated by a distance equal to their radius that carry equal currents in the same direction." Suppose the radius of the coils is R 18.00 cm and each coil carries a current of /== 11.50 A and has N 340.0 turns. The coils are in the yz plane where one coil's center is at x = 0 the other coil's center is at x = R. -X=R 00
A magnetic dipole with a dipole moment of magnitude 0.016 J/T is released from rest in a uniform magnetic field of magnitude 58 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.60 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? _____________°(b) What is the angle between the dipole moment and the magnetic field when the dipole is next (momentarily) at rest? ______________°
A magnetic dipole with a dipole moment of magnitude 0.0306 J/T is released from rest in a uniform magnetic field of magnitude 57.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.573 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?
Each of the 10 turns of wire in a vertical, rectangular loop carries a current of 0.25 A. The loop has a height of 8.0 cm and a width of 15 cm. A horizontal magnetic field of magnitude 4.9×10^−2 T is oriented at an angle of θ=65° relative to the normal to the plane of the loop.
A uniform magnetic field points vertically upward; its magnitude is 0.520 T. An electron with kinetic energy 6.50 × 10−18 J is moving horizontally eastward in this field. What is the magnetic force acting on it? Answer in units of "N north"
A single rectangular loop of area 3.14 m2 carries a current of 10.0 mA. It is placed in a uniform magnetic field of magnitude 0.500 T that is directed parallel to the plane of the loop as shown in the figure. The current is clockwise in the loop. (a) What is the magnitude of the torque exerted on the loop by the magnetic field? (b) Describe how the loop would rotate, such as which side could move out of page, you can draw the directions...show your reasoning steps. e.g. which rule you use.
Chapter 28, Problem 001 A proton traveling at 23.8° with respect to the direction of a magnetic field of strength 1.98 mT experiences a magnetic force of 9.59 × 10-¹7 N. Calculate (a) the proton's speed and (b) its kinetic energy in electron- volts. Chapter 28, Problem 009 In the figure, an electron accelerated from rest through potential difference V₁=1.06 kV enters the gap between two parallel plates having separation d = 24.5 mm and potential difference V₂= 99.1 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? [₁}v₂
A magnetic needle with magnetic moment μ = 0.045 Am2 is placed in a uniform magnetic field B = 0.45 T as shown in the figure. The angle between the direction of the magnetic moment and the direction of the magnetic field is θ = 75°. 1. Ignore the mass of the needle, express the work needed to change the angle from θ to α in terms of μ, B, θ, α.
A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of the field remains constant, however. There are three equal time intervals indicated in the graph: 0 - 3.0 s, 3.0 – 6.0 s, and 6.0 – 9.0 s. The loop consists of 55 turns of wire and has an area of 0.13 m2. The magnetic field is oriented parallel to the normal to the loop. For purposes of this problem, this means that O = 0° in Equation 22.2. (a) For each interval, determine the induced emf. (b) The wire has a resistance of 0.50 N. Determine the induced current for the first and third intervals.