Electric Field of a Solid Ball of Uniform Charge Density

[TOPOG]

Homework Statement

Let E(r) represent the electric field due to the charged ball throughout all of space. Which of the following statements about the electric field are true?

- E(0) = 0
- E(Rb) = 0
- lim(r -->infin.)E(r) = 0
- The maximum electric field occurs when r = 0.
- The maximum electric field occurs when r = Rb.
- The maximum electric field occurs as r -->infin..


2. Relevant material
A solid ball of radius Rb has a uniform charge density rho .

3. Attempt at a Solution
The true statements that i chose were E(0) = 0, lim(r -->infin.)E(r) = 0, The maximum electric field occurs when r = Rb.

 

[olgranpappy]

...attempt at solution?

 

[pam]

Your answers are correct.

 

[TOPOG]

thank you

 

[miss_soup]

how would u definte E(r) at distance r > rb?

 

[pam]

For r>r_b, E is the same as a point charge.