What is the Energy Required to Move an Electron Between Two Charged Spheres?

AI Thread Summary
To calculate the energy required to move an electron from the outer sphere to the inner sphere, the formula W = kQ(-e)(1/R1 - 1/R2) is used, where k is Coulomb's constant, Q is the charge of the spheres, -e is the charge of the electron, R1 is the radius of the inner sphere, and R2 is the radius of the outer sphere. Given the values Q = 500 nC, R1 = 0.5 cm, and R2 = 5.5 cm, the calculation yields W = 130.9 joules. The approach taken in the solution is confirmed to be correct. This energy represents the work needed to move the electron against the electric field created by the charged spheres.
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Homework Statement


two thin conducting spheres, one inside the other. They are both centered about the same point. The outer sphere has a total charge Q and radius R2 and the inner sphere has a total charge -Q and radius R1.

The magnitude of the charges is Q = 500 nC, and the radii are R1 = 0.5 cm and R2 = 5.5 cm.

How much energy would you need to expend to move one electron from the outer sphere to the inner sphere?


Homework Equations


W=kQ(-e)(1/R1- 1/R2)

The Attempt at a Solution


W=kQ(-e)(1/R1- 1/R2)= 130.9
 
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Your approach is correct.
 

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