The magnitude of the electric field can be calculated from the center of the ball.

You are watching: A solid ball of radius rb has a uniform charge density ρ.

According to Gauss"s law:

∫E·dA=qε0

Let"s consider the ball to be a sphere.


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A solid ball of radius rb has a uniform charge density ρ.Part AWhat is the magnitude of the electric field E(r) at a distance r > rb from the center of the ball? Express your answer in terms of ρ, rb, r, and ϵ0.

Part B

What is the magnitude of the electric field E(r) at a distance rb from the center of the ball?

Express your answer in terms of ρ, r, rb, and ϵ0.

Part C.

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?

1. E(0) = 0

2. E(rb) = 0.

3.

4. The maximum electric field occurs when r = 0.

5. The maximum electric field occurs when r = rb.

6. The maximum electric field occurs as r → ∞.


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