The mass of an electron is me = 9.11 times 10-31 kg. The relativistic mass energ

Question

The mass of an electron is me = 9.11 times 10-31 kg. The relativistic mass energy of an electron is mec2. Given the apparent infinite electrostatic energy associated with a point charge, is is tempting (though wrong) to view the electron not as a point charge, but as a sphere of uniform charge density whose electrostatic energy is equal to the mass energy of an electron. What would the radius of such a ball of charge be? (The electron's charge, which has the special symbol e, is -1.60 times 10-19 coulombs).

Explanation / Answer

9.11*10^-31*(3*10^8)^2=9*10^9*(-1.6*10^-19)^2/r

r=2.81*10^-15

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