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Introduction to SAT II Physics - FreeExamPapers

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EXAMPLE<br />

A particle of mass<br />

kg has a negative charge of –10 C. It moves in a clockwise<br />

circular pattern of radius 2 m at a speed of<br />

of the magnetic field acting upon it?<br />

m/s. What is the magnitude and direction<br />

We know the velocity, mass, charge, and radius of the orbit of the particle. These four<br />

quantities are related <strong>to</strong> magnetic field strength, B, in the equation r = mv/qB. By<br />

rearranging this equation, we can solve for B:<br />

Now we just need <strong>to</strong> determine the direction of the magnetic field. To find the direction,<br />

apply the right-hand rule in reverse: point your thumb in the direction of the force—<br />

<strong>to</strong>ward the center of the circle—and then stretch your fingers in the direction of the<br />

velocity. When you curl your fingers around, they will point out of the page. However,<br />

because the particle has a negative charge, the magnetic field has the opposite direction—<br />

in<strong>to</strong> the page.<br />

Magnetic Fields and Electric Fields Overlapping<br />

There’s no reason why a magnetic field and an electric field can’t operate in the same<br />

place. Both will exert a force on a moving charge. Figuring out the <strong>to</strong>tal force exerted on<br />

the charge is pretty straightforward: you simply add the force exerted by the magnetic<br />

field <strong>to</strong> the force exerted by the electric field. Let’s look at an example.<br />

EXAMPLE<br />

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