- #1
Shukie
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Homework Statement
Inside a metal conducting shell of radius [itex]R[/itex] there is a negative charge [itex]q[/itex] at a distance [itex]a[/itex] from the center [itex]M[/itex]. The shell is brought up to a potential [itex]V[/itex]. What is the surface charge on the inside and outside of the conductor?
The Attempt at a Solution
I'm not sure if this is the way to solve this problem, but I know that in the case of a grounded conducting shell this system can be replaced by the original charge [itex]q[/itex] at distance [itex]a[/itex] from M and some imaginary charge [itex]\frac{R}{a}q[/itex] outside the shell, at distance [itex]a' = \frac{R^2}{a}[/itex] from [itex]M[/itex]. Does the added potential change anything about this 'imaginary' setup?