The electric potential is at point A near a uniformly charged sphere. At point B, farther away from the sphere, the potential has decreased by 0.16 mV. How far is point A from the center of the sphere?
Point A is 49cm far from center of the sphere.
We have given that the electric potential is 40 V at point A near a uniformly charged sphere. At point B, farther away from the sphere, the potential has decreased by 0.16 mV.
The potential at point A, and the potential at point B, which is away from point A, is lower and the distance of point A from the charge creating the potential.
The definition of the potential applied for point A, we can get the following:
where is what we want to find.
The difference in potential, we can obtain the following:
The product of the two distance,
The charge q in unknown here, However the first expression by substituting it at the first factor we'll get
This allows to reach the conclusion that
Passing the difference in position to the right gives us the final expression:
We can assure ourselves our solution is not wrong, since the units of the two sides are the same: on the right side, both potentials cancel, while the length remains on both sides.
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