The nuclei of large atoms such as uranium with 92 protons can be modeled as sphe

Question

The nuclei of large atoms such as uranium with 92 protons can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately 7.4 times 10^-15 m. What is the electric field this nucleus produces just outside its surface? Express your answer using two significant figures. What magnitude of electric field does it produce at the distance of the electrons, which is about 2.0 times 10^-19 m ? Express your answer using two significant figures. The electrons can be modeled as forming a uniform shell of negative charge. What net electric field do they produce at the location of the nucleus? Express your answer using two significant figures.

Explanation / Answer

charge of the sphere is q = 92 * 1.6 * 10^-19 C

q = 1.47 * 10^-17 C

radius r = 7.4 * 10^-15 m

part A)

The lectric field due to a uniformly charged sphere for r > R is

E = k * q / r^2

here r = R

E = 9 * 10^9 * 1.47 * 10^-17 / (7.4 * 10^-15)^2

E = 2.41 * 10^21 N/C

part B)

E = k * q / r^2

here r = 2 * 10^-10

E = 9 * 10^9 * 1.47 * 10^-17 / (2 * 10^-10)^2

E = 3.3 * 10^12 N/C

part C)

The net electric field inside a shell is Etot = 0

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