Potential Difference b/w Sphere & Cond. Shell | Electrostats

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The discussion revolves around calculating the potential difference between a charged solid conducting sphere and an uncharged concentric conducting spherical shell after the shell is given a charge of -3Q. Initially, the potential difference is denoted as V. Participants suggest using the integral of the electric field (E) with respect to radius (r) and applying Gauss's law to solve the problem. The conversation emphasizes the importance of understanding the effects of charge distribution on potential difference in electrostatics. Clarification is sought on how to approach the calculations effectively.
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From Electrostatics:

A solid conducting sphere of charge Q is surrounded by an uncharged concentric conducting spherical shell. The potential difference between the sphere and the shell is V. If the shell is now given a charge of -3 Q , what is the new potential difference between them?
 
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you need to read the rules and post this in the HW section (this might get moved)

show what you have done and tell us where you are getting lost. you might want to begin with V=integral of E wrt r. use some gauss law stuff.
 

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