Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread uniformly over that surface. a. Calculate the electric field inside and outside of the sphere. b. Calculate the electric potential that creates this field, and has a zero value at infinity. c. Calculate the work required to create this electron. d. Use Einstein’s equation relating rest mass to energy to derive a value for R. Unfortunately, your answer will be model-dependent. The traditional “Classical radius of the electron” is derived by setting the electrostatic work to be e2/(4pi e0 R)

Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread uniformly over that surface. a. Calculate the electric field inside and outside of the sphere. b. Calculate the electric potential that creates this field, and has a zero value at infinity. c. Calculate the work required to create this electron. d. Use Einstein’s equation relating rest mass to energy to derive a value for R. Unfortunately, your answer will be model-dependent. The traditional “Classical radius of the electron” is derived by setting the electrostatic work to be e2/(4pi e0 R)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 79PQ: The radius of circular electron orbits in the Bohr model of the hydrogen atom are given by (5.29 ...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread uniformly over that surface.

a. Calculate the electric field inside and outside of the sphere.

b. Calculate the electric potential that creates this field, and has a zero value at infinity.

c. Calculate the work required to create this electron.

d. Use Einstein’s equation relating rest mass to energy to derive a value for R. Unfortunately, your answer will be model-dependent. The traditional “Classical radius of the electron” is derived by setting the electrostatic work to be e²/(4pi e₀ R)

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