A particle of charge +q is placed at one corner of a Gaussiancube. What multiple

Question

A particle of charge +q is placed at one corner of a Gaussiancube. What multiple pf q/ gives the flux through: a) each face of the cube forming that corner? b) each of the other cube faces? Please explain your reasoning as well. I think I understandpart a, but not part b. A particle of charge +q is placed at one corner of a Gaussiancube. What multiple pf q/ gives the flux through: a) each face of the cube forming that corner? b) each of the other cube faces? Please explain your reasoning as well. I think I understandpart a, but not part b.

Explanation / Answer

a) 0 b) Let the side of the cube be d, Add 7 cubes on the given cube toform a large cube (side of 2d) and let the corner with charge bethe center of the large cube. There are 24 square faces with the side d. We are asked to find theelectric flux on each face with side d. By Gauss law, the flux on the 24 faces is q/0. Bysymmetry, the flux on each side is q/(240).

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