A solid ball of radiushas a uniform charge density. A)

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A solid ball of radius has a uniform charge density

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A solid ball of radius r_b has a uniform charge density rho .

A)

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

Express your answer in terms of rho , r_b , ,and epsilon_0 .

E(r)

=

Part B

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

Express your answer in terms of rho , , r_b , and epsilon_0 .

E(r)

=

Part C

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

$E(0)=0$ .
$E(r_{\rm b})=$ .
$\lim_{r\to\infty}E(r)=0$ .
The maximum electric field occurs when $r=0$ .
The maximum electric field occurs when $r=r_{\rm b}$ .
The maximum electric field occurs as $r\to\infty.$

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