Potential outside a neutral conducting sphere of radius R placed in an external field was shown...

 

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Potential outside a neutral conducting sphere of radius R placed in an external field was shown in class to be V () = ( 3 - 1) . . a) Use the result for V () to find the surface charge density on the sphere. (Note: You may find some standard surface charge - field expressions; but for practicing purpose, I'd like you to make an argument of using Gauss' law to arrive at the surface charge density ; 2 points for plugging into some formula; additional 3 bonus points for applying Gauss' law to solve the question.) b) Use your answer from a) to find the dipole and quadrupole moment elements that arise from the surface charge distribution. Potential outside a neutral conducting sphere of radius R placed in an external field was shown in class to be V () = ( 3 - 1) . . a) Use the result for V () to find the surface charge density on the sphere. (Note: You may find some standard surface charge - field expressions; but for practicing purpose, I'd like you to make an argument of using Gauss' law to arrive at the surface charge density ; 2 points for plugging into some formula; additional 3 bonus points for applying Gauss' law to solve the question.) b) Use your answer from a) to find the dipole and quadrupole moment elements that arise from the surface charge distribution.