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1. The problem statement, all variables and given/known data

Imagine a small metal sphere left by some alien civilization is floating in space. A

probe is launched directly at the sphere in order to study it. When the probe is

1000 m from the sphere, it detects a voltage of 110.0 V; and when itâ€™s at 100.0 m

it records 10.0 V. What, if any, is the charge on the sphere?

2. Relevant equations

I used V = (kq)/r

3. The attempt at a solution

Solve for q to get q = V(r/k). Plug in the values for each situation, and get q. The thing is, I get different values of q for each set of values. I must be using the wrong equation...but I can't figure which equation to use that relates charge and volts.

Thanks!

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# Homework Help: Metal sphere left by alien civilization

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