Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from t

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Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from t

Lennie Carroll 2021-05-20 Answered

Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton any where along the tunnel or outside the ball. Let

F_{R}

be the magnitude of the electrostatic force on the proton when it islocated at the ball's surface, at radius R. As a multiple ofR, how far from the surface is there a point where the forcemagnitude is 0.44FR if we move the proton(a) away from the ball and (b) into the tunnel?

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yagombyeR

Answered 2021-05-22 Author has 92 answers

By Gauss

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Jeffrey Jordon

Answered 2021-10-14 Author has 2027 answers

(a) The flux is still $- 750 N m^{2} / C^{2}$ , since it depends only on the amount of charge enclosed.

(b) We use $ϕ = \frac{q}{ϵ_{0}}$ to obtain the charge q :

$q = ϵ_{0} ϕ = (8.85 \times 10^{- 12} C^{2} / N m^{2}) (- 750 N . m^{2} / C^{2}) =$

$- 6.64 \times 10^{- 9} C$

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Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from t

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