Charge in a spherical conducting shell

AI Thread Summary
The discussion centers on calculating the charge within a conducting spherical shell given a potential of 100V and an outer radius of 0.2m. The user applied Gauss's law to derive the electric field and integrated it to find the potential, leading to a calculated charge of 2.22 x 10^-9 C. However, this result differs from the expected answer of 1.67 x 10^-9 C. The thread invites assistance in identifying the error in the calculations by reviewing the formulas and values used. Clarification on the problem's requirements and potential mistakes in the calculations is sought.
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Homework Statement


There's a conducting spherical shell with Q = q2 and V =100v and outter radius R


Homework Equations


V=k*Q/R


The Attempt at a Solution



First I calculate the E field using Gauss law, and I get E=q2/4*Pi*E0*r

Integrating the E field to get the potential V y get:

V = q2/4*pi*E0*R = 100

And there I get the value of q2
 
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Sorry this is the first time I open a thread and I might haven't been too concise.

Im asked to find the charge in the sphere knowing the inner radius = 0.15m and the outter radius = 0.2

The result I get is 2.22 exp -9 when the correct answer according to my assignment should be 1.67 exp -9 so i don't know where the mistake is.
 
We can help you find your mistake if you can show us exactly what formula you used and what numbers you put in it.
 
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