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Chapter 4: Q12E (page 746)

Electric Fields in an Atom. 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脳10-15m. (a) What is the electric field this nucleus produces just outside its surface? (b) What magnitude of electric field does it produce at the distance of the electrons, which is about 1.0脳10-10m? (c) 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?

Short Answer

Expert verified

(a) The electric field this nucleus produces just outside its surface is 2.42脳1021N/C.

(b) The magnitude of electric field is 1.3脳1013N/C.

(c) The net electric field is zero.

Step by step solution

01

Definition of Electric field

The term electric field may be defined as the area around the charge where a positive test charge experienced a force.

02

Determine the electric field

The electric field can be calculated by the relation E=qenq4蟿蟿蔚0r2

(a) For rnthe electric field is

E=qenq4蟿蟿蔚0r2E=9脳10992脳1.6脳10-197.4脳10-152E=2.42脳1021N/C

Hence,the electric field this nucleus produces just outside its surface is 2.42脳1021N/C.

Forr1 the electric field is

E=qenq4蟿蟿蔚0r12

E=9脳10992脳1.6脳10-191.0脳10-102E=1.3脳1013N/C

Hence,the magnitude of electric field is 1.3脳1013N/C.

(c) The total enclosed charged at the center of the shell is zero that鈥檚 why the net electric field is zero.

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