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# Expression Point Charges

y l
l
a (+q)
l
l
-------l--------x
l
-a (+2q)
l
l
Two point charges are fixed on the y-axis at the locations shown in the figure above. A charge of +q is located at y = a and a charge of +2q is located at y = -a. Express your answers to a and b in terms of q,a, and fundamental constants.

a) Determine the magnitude and direction of the electric field at the origin.
b) Determine the electric potential at the origin.

A third charge of -q is first placed t an arbitrary points A (x = -Xo) on the x-axis as shown in the figure below

y l
l
a (+q)
l
Point A l
--Xo------l--------x
-q l
-a (+2q)
l
l

c)Write the expression in terms of q, a, Xo, and fundamental constants for the magnitudes of the forces on the -q charge at point A cause by each of the following
i. The +q charge
ii. The +2q charge

#### Solution Summary

This solution answers several physics questions about point charges, addressing fundamental constants, magnitude and direction of electric field and electric potential.

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