You have two identical point charges of +6.0 nC each, one at the position x = 3.0 cm, y = 0, z = 0 and the other at x = -3.0 cm, y = 0, z = 0. Find the electric potential due to these charges at (a) x = 0, y = 0, z = 0; (b) x = 0, y = 4.0 cm, z = 0; (c) x = 8.0 cm, y = 0, z = 0. Take V = 0 at infinity. (d) At which (if any) of these points is the electric field equal to zero? If the field is zero at a certain point, is the potential necessarily zero there as well?

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You have two identical point charges of +6.0 nC each, one
at the position x = 3.0 cm, y = 0, z = 0 and the other at x = -3.0 cm,
y = 0, z = 0. Find the electric potential due to these charges at (a) x = 0, y = 0,
z = 0; (b) x = 0, y = 4.0 cm, z = 0; (c) x = 8.0 cm, y = 0, z = 0. Take V = 0
at infinity. (d) At which (if any) of these points is the electric field equal
to zero? If the field is zero at a certain point, is the potential necessarily
zero there as well?

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