Question

Three identical point charges each of charge q are located at the vertices of an equilateral triangle as shown in the figure. The distance from the center of the triangle to each vertex is a. (a) Show that the electric field at the center of the triangle is zero. (b) Find a symbolic ex pression for the electric potential at the center of the triangle. (c) Give a physical explanation of the fact that the electric potential is not zero, yet the electric field is zero at the center.

Answer 1

A)

The electric field is a vector Amount when one sums vectorially the Electrical field Creates by Fees q

B)

It is obtained a null vector; then the electric field at the center of the triangle is zero.

i.e., P_total=3kq/a²

C)

Potential is a scalar size, to figure out the potential generated by a pair of fees, one must sum numbers. In this case, all numbers are all positive

q_i > 0

Vi=K

Then Possible at the Middle of This triangle is non- zero