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Physics for Scientists and Engineers with Modern Physics | 9th Edition | ISBN: 9781133954057 | Authors: Raymond A. Serway John W. Jewett
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The electromagnetic power radiated by a nonrelativistic

Chapter 34, Problem 74

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QUESTION:

The electromagnetic power radiated by a nonrelativistic particle with charge q moving with acceleration a is P 5 q 2 a 2 6pP0c 3 where P0 is the permittivity of free space (also called the permittivity of vacuum) and c is the speed of light in vacuum. (a) Show that the right side of this equation has units of watts. An electron is placed in a constant electric field of magnitude 100 N/C. Determine (b) the acceleration of the electron and (c) the electromagnetic power radiated by this electron. (d) What If? If a proton is placed in a cyclotron with a radius of 0.500 m and a magnetic field of magnitude 0.350 T, what electromagnetic power does this proton radiate just before leaving the cyclotron?

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QUESTION:

The electromagnetic power radiated by a nonrelativistic particle with charge q moving with acceleration a is P 5 q 2 a 2 6pP0c 3 where P0 is the permittivity of free space (also called the permittivity of vacuum) and c is the speed of light in vacuum. (a) Show that the right side of this equation has units of watts. An electron is placed in a constant electric field of magnitude 100 N/C. Determine (b) the acceleration of the electron and (c) the electromagnetic power radiated by this electron. (d) What If? If a proton is placed in a cyclotron with a radius of 0.500 m and a magnetic field of magnitude 0.350 T, what electromagnetic power does this proton radiate just before leaving the cyclotron?

ANSWER:

Step 1 of 5

(a)

Consider the given expression.

                                                               

Write the units of each variable in the above expression as follows.

                                                   

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