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?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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When a charged particle moves perpendicularly to the direction of a uniform magnetic field, the direction of the magnetic force is perpendicular to both
the 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 centripetal
force (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 the
magnetic 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 right
angles to one another, as shown below.
X
ř
X
X
B X X
If 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, what
is 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 do
enter a unit, your answer will be counted wrong.
Transcribed Image Text:When a charged particle moves perpendicularly to the direction of a uniform magnetic field, the direction of the magnetic force is perpendicular to both the 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 centripetal force (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 the magnetic 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 right angles to one another, as shown below. X ř X X B X X If 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, what is 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 do enter a unit, your answer will be counted wrong.
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