Electrostatic potential at a point outside a sphere

AI Thread Summary
The discussion revolves around calculating the electrostatic potential at a point outside a charged conducting spherical shell with a radius of 11.0 cm and a potential of 5.00*10^4 V. The user initially attempted to find the charge (Q) using the potential formula for inside the shell but encountered an error in their calculations. After some confusion, the user ultimately found the correct solution. The key equations discussed include the potential outside the shell, V = (1/[4*pi*(epsilon naught)])*(Q/r), and the potential inside the shell. The thread highlights the importance of correctly applying the formulas to determine electrostatic potential in different regions.
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A conducting spherical shell of radius 11.0 cm is charged to a potential of 5.00*10^4 V. What is the value of the electrostatic potential 5.0 cm outside the surface of the sphere?


V=(1/[4*pi*(epsilon naught)])*(Q/r) <-- outside of the shell
V=(1/[4*pi*(epsilon naught)])*(3Q/2R) <-- inside the shell


I tried to figure out Q knowing the electrostatic potential and radius of the shell by plugging those numbers into the second equation. I then took the calculated charge and plugged it into the first equation for a point outside of the shell to determine V, but my answer is wrong. I'm not sure what I need to do.
 
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Nevermind, I found the solution.
 
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