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 76 turns of wire, and is 2.61 cm wide by 3.61 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 10.1 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 3.96 x 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 76 turns of wire, and is 2.61 cm wide by 3.61 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 10.1 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 3.96 x 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 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?
A circular coil of 216 turns has a radius of 2.29 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 2.64 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 52.5 mT magnetic field. (a) Number Units (b) Number i Units
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 solenoid in your car is 36 cm long and has a diameter of 7.9 cm. It is made of copper wire with a radius of 0.50 mm. The turns are closely packed and form a single layer. Assume the resistivity of copper is 1.68 ✕ 10−8 Ω · m. (a) When the solenoid is connected to your battery with E = 11.6 V, what is the magnetic field inside the solenoid? (Enter the magnitude.) T
Two long straight wires are parallel and 12 cm apart. They are to carry equal currents such that the magnetic field at a point halfway between them has magnitude 430 μT. (a) Should the currents be in the same or opposite directions? (b) How much current is needed? (a) opposite (b) Number i 6.5 Units A ✰
A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components: 1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction. The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) - What is the magnitude of the magnetic force?
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.
Sodium ions (Na+) move at 0.854 m/s through a bloodstream in the arm of a person standing near a large magnet. The magnetic field has a strength of 0.255 T and makes an angle of 47.0° with the motion of the sodium ions. The arm contains 115 cm3 of blood with 3.50 ✕ 1020 Na+ ions per cubic centimeter. If no other ions were present in the arm, what would be the magnetic force on the arm?
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.