(a) Consider a fixed hollow spherical shell with radius R and surface charge den

Question

(a) Consider a fixed hollow spherical shell with radius R and surface charge density ?. A particle with mass m and charge -q that is initially at rest falls in from infinity. What is the speed when it reaches the center of the shell? (Assume that a tiny hole has been cut in the shell, to let the charge through.)

(b) Consider two fixed hollow conical shells (that is, ice cream cones without the ice cream) With radius R, slant height L, and surface charge density ?, arranged as shown in the figure. A particle with mass m and charge -q that is initially at rest falls in from infinity, along the perpendicular bisector line, as shown. What is its speed when it reaches the tip of the cones? You should find that your answer relates very nicely to your answer from part (a).

Explanation / Answer

360 degrees

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