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8. A ball of radius R has total charge +Q distributed uniformly over its volume. c) Taking the potential to be zero at infinity, i.e. V(r=o)=0, find the potential V(r=0) at the center of the ball. a) Use Gauss's Law to calculate the electric field created by the ball, at points outside the ball (r> R). d) Suppose that a point charge +q is at rest at the center of the ball. If the point charge is given a slight nudge, what will happen? How fast will the point charge be travelling at infinity? * b) Use Gauss's Law to calculate the electric field created by the ball, at points inside the ball (r

8. A ball of radius R has total charge +Q distributed uniformly over its volume. c) Taking the potential to be zero at infinity, i.e. V(r=o)=0, find the potential V(r=0) at the center of the ball. a) Use Gauss's Law to calculate the electric field created by the ball, at points outside the ball (r> R). d) Suppose that a point charge +q is at rest at the center of the ball. If the point charge is given a slight nudge, what will happen? How fast will the point charge be travelling at infinity? * b) Use Gauss's Law to calculate the electric field created by the ball, at points inside the ball (r

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8. A ball of radius R has total charge +Q distributed uniformly over its volume. c) Taking the potential to be zero at infinity, i.e. V(r=)=0, find the potential V(r=0) at the center of the ball. a) Use Gauss's Law to calculate the electric field created by the ball, at points outside the ball (r> R). d) Suppose that a point charge +q is at rest at the center of the ball. If the point charge is given a slight nudge, what will happen? How fast will the point charge be travelling at infinity? * b) Use Gauss's Law to calculate the electric field created by the ball, at points inside the ball (r <R).
Transcribed Image Text:8. A ball of radius R has total charge +Q distributed uniformly over its volume. c) Taking the potential to be zero at infinity, i.e. V(r=)=0, find the potential V(r=0) at the center of the ball. a) Use Gauss's Law to calculate the electric field created by the ball, at points outside the ball (r> R). d) Suppose that a point charge +q is at rest at the center of the ball. If the point charge is given a slight nudge, what will happen? How fast will the point charge be travelling at infinity? * b) Use Gauss's Law to calculate the electric field created by the ball, at points inside the ball (r <R).
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