When a charged particle moves perpendicularly to the direction of a uniform magnetic field, the direction of the magnetic force is perpendicular to boththe direction of the magnetic field and the direction of the velocity of the charged particle. Accordingly, the charge begins to move in a circular path.Since the direction of the magnetic force is toward the center of the circular path the charged particle moves along, the magnetic force is a centripetalforce (recall centripetal forces from chapter 5 of the text, covered in PHY 2010). A schematic of such motion is shown below. The "X"s represent themagnetic field that is directed into the plane of this screen. The direction of velocity and magnetic force lie within the plane of this screen and are at rightangles to one another, as shown below.XřXXB X XIf a charge of magnitude 7.45x10-¹7C, with speed 4.66x106 m/s, and mass 7.12x10-25kg moves within the magnetic field of magnitude 3.96x10-²T, whatis the resulting radius of the path (in meters) the particle traces out?Note: It is understood that the unit of your answer is in meters, however do not explicitly include units in your answer. Enter only a number. If you doenter a unit, your answer will be counted wrong.

Given data, Charge q=7.45×10-17 C Speed v=4.66×106 m/s mass m=7.12×10-25 kg Magnetic field…

If a charge of magnitude 7.45x10-17C, with speed 4.66x106 m/s, and mass 7.12x10-25 kg moves within the magnetic field of magnitude 3.96x10-2T, what is the resulting radius of the path (in meters) the particle traces out?

If a charge of magnitude 7.45x10-17C, with speed 4.66x106 m/s, and mass 7.12x10-25 kg moves within the magnetic field of magnitude 3.96x10-2T, what is the resulting radius of the path (in meters) the particle traces out?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter26: Electromagnetism

Section: Chapter Questions

Problem 1STP

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Similar questions

A charged particle is traveling through a uniform magnetic field. Which of the following statements are true of the magnetic field? There may be more than one correct statement. (a) It exerts a force on the particle parallel to the field. (b) It exerts a force on the particle along the direction of its motion. (c) It increases the kinetic energy of the particle. (d) It exerts a force that is perpendicular to the direction of motion. (e) It does not change the magnitude of the momentum of the particle.
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