- #1
k_squared
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I did everything I could to solve the following problem:
A solid ball of radius rb has a uniform charge density ρ.
What is the magnitude of the electric field E(r) at a distance r>rb from the center of the ball?
E(r) =
My third attempt went like this: qencl=[ρ(4/3)(π)rb3]
EV=[ρ(4/3)(π)rb3]/(ε0)
E(4/3)πr3=[ρ(4/3)(π)rb3]/(ε0)
And ah, well, a little simple division and cancelling leads to:
[ρrb3/[ε0r3]
However, the book answer is 1/3 my answer. Could someone please tell me where this constant develops?
A solid ball of radius rb has a uniform charge density ρ.
What is the magnitude of the electric field E(r) at a distance r>rb from the center of the ball?
E(r) =
My third attempt went like this: qencl=[ρ(4/3)(π)rb3]
EV=[ρ(4/3)(π)rb3]/(ε0)
E(4/3)πr3=[ρ(4/3)(π)rb3]/(ε0)
And ah, well, a little simple division and cancelling leads to:
[ρrb3/[ε0r3]
However, the book answer is 1/3 my answer. Could someone please tell me where this constant develops?