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Two coaxial conducting tubes are 30 cm long. The outer diameter of the inner tub

ID: 1427971 • Letter: T

Question

Two coaxial conducting tubes are 30 cm long. The outer diameter of the inner tube is 3 cm, the inner diameter of the outer tube is 4 cm. When these are connected to 45 volt battery, how much energy is stored in the electric field between the tubes?

I found the answer here : http://www.chegg.com/homework-help/questions-and-answers/two-coaxial-aluminum-tubes-30-cm-long-outer-diameter-inner-tube-3-cm-inner-diameter-outer--q3806543

But in that page there are 4 different answers I'm not sure which one is correct. Can someone do this problem with steps so I know how to do it?

Explanation / Answer


energy stored is U = 0.5*eo*E^2*volume of tube


Electric field is E = V/d = 45/(0.01) = 4500 N/C


then U = 0.5*eo*E^2*pi*(R^2-r^2)*l


U = 0.5*8.85*10^-12*4500^2*3.142*(0.04^2-0.03^2)*0.3 = 5.91*10^-8 J

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