Dielectric constant is throwing me off

AI Thread Summary
The discussion centers on calculating the radius of the outer sphere in a spherical capacitor with a given capacitance of 108 pF and an inner radius of 0.39 m. The participants clarify that the dielectric constant K should be considered as 1 for a vacuum, leading to confusion in the calculations. The formula used involves capacitance and the radii of the inner and outer spheres, but the correct interpretation of K is debated. There is a reference to a physics resource for further clarification. The conversation highlights the importance of correctly applying constants in capacitor calculations.
Ahmed.Sandman
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A spherical capacitor is formed from two concentric, spherical, conducting shells separated by vacuum. The inner sphere has radius 0.39 m and the capacitance is 108 pF. What is the radius of the outer sphere? Give your answer in meters to the third decimal place.

C-->Capacitance
K*C*rb-K*C*ra=ra*rb

it says its a vacuum so I'm using K=1

but I'm not getting a correct answer?!??!
 
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