Repeat Exercise 22.41 but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where the Earth's field is north, but at an angle below the horizontal and with a strength of .
(a) Maximum torque on a loop is and direction is west.
(b) The torque is very small so the loop will not have any practical application as a motor.
Torque, also known as force moment, is the tendency of a force to spin the body to which it is applied in physics.
We can use the equation to determine the torque,
Substitute the values in the equation (1), and we get
Hence, the required maximum torque on a loop is
Considering direction of force and current we find that the direction of torque is in west.
The torque is very small so the loop will not have any practical application as a motor.
Consider a mass separator that applies a magnetic field perpendicular to the velocity of ions and separates the ions based on the radius of curvature of their paths in the field. Construct a problem in which you calculate the magnetic field strength needed to separate two ions that differ in mass, but not charge, and have the same initial velocity. Among the things to consider are the types of ions, the velocities they can be given before entering the magnetic field, and a reasonable value for the radius of curvature of the paths they follow. In addition, calculate the separation distance between the ions at the point where they are detected.
(a) Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a charge and flies due west at a speed of 660 m/s over the Earth’s south magnetic pole, where the magnetic field points straight up. What are the direction and the magnitude of the magnetic force on the plane? (b) Discuss whether the value obtained in part (a) implies this is a significant or negligible effect.
If one of the loops in Figure 22.49 is tilted slightly relative to the other and their currents are in the same direction, what are the directions of the torques they exert on each other? Does this imply that the poles of the bar magnet-like fields they create will line up with each other if the loops are allowed to rotate?
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