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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 7.4×10−15m .a)What is the electric field this nucleus produces just outside its surface?Express your answer using two significant figures. b)What magnitude of electric field does it produce at the distance of the electrons, which is about 2.0×10−10 m ?Express your answer using two significant figures. 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?Express your answer using two significant figures.

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 7.4×10−15m .

a)

What is the electric field this nucleus produces just outside its surface?
Express your answer using two significant figures.
 
b)
What magnitude of electric field does it produce at the distance of the electrons, which is about 2.0×10−10 m ?
Express your answer using two significant figures.
 
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?
Express your answer using two significant figures.
check_circleAnswer
Step 1

(a)

The electric field at the outside surface of nucleus due to charge is,

Substitute the values for 92 proton nuclei.

E-k
9x10 N-m/c'(92x1.6x10" c)
(7.4x101m)
2.4x102 NC
E=
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Image Transcriptionclose

E-k 9x10 N-m/c'(92x1.6x10" c) (7.4x101m) 2.4x102 NC E=

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Step 2

(b)

The electric field at the distance of the electron due to charge is,

Substitute the values for 92 proton nuclei.

9x10 N m/c'(92x1.6x10" C)
(2.0x1010 m)
-19
E=
= 3.3x10 N/C
help_outline

Image Transcriptionclose

9x10 N m/c'(92x1.6x10" C) (2.0x1010 m) -19 E= = 3.3x10 N/C

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Step 3

(c)

The electric field at the centre of the shell is zero because the total enclosed charge is equal to zero, more over t...

E 0
help_outline

Image Transcriptionclose

E 0

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