what is the magnitude of the electric field e(r) at a distance r>rb from the center of the ball?

A solid ball of radiusr_bhas a uniform charge densityrho.

A)

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What is the magnitude of the electric fieldE(r)at a distancer>r_bfrom the center of the ball?
Express your answer in terms ofrho,r_b,r,andepsilon_0.
E(r)=
Part B
What is the magnitude of the electric fieldE(r)at a distancer<r_bfrom the center of the ball?
Express your answer in terms ofrho,r,r_b, andepsilon_0.
E(r)=

Part C

LetE(r)represent the electric field due to the charged ballthroughout all of space. Which of the following statements aboutthe electric field are true?

  1. E(0)=0.
  2. E(r_{\rm b})=.
  3. \lim_{r\to\infty}E(r)=0.
  4. The maximum electric field occurs whenr=0.
  5. The maximum electric field occurs whenr=r_{\rm b}.
  6. The maximum electric field occurs asr\to\infty.

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