Electrostatic potential at a point outside a sphere

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SUMMARY

The electrostatic potential outside a conducting spherical shell with a radius of 11.0 cm and a potential of 5.00 x 104 V is calculated using the formula V = (1/[4π(ε₀)])*(Q/r). The user initially attempted to determine the charge Q using the potential and radius, but encountered errors in their calculations. Ultimately, they resolved the issue independently, confirming the correct approach to find the potential at a point 5.0 cm outside the sphere.

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  • Familiarity with the concept of conducting spherical shells
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adam199
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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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