points SercP10 16 P016. Three identical point charges each of charge q are locat

Question

points SercP10 16 P016. Three identical point charges each of charge q are located at the vertices of an equilateral triangle as in the figure shown below. The distance from the center of the triangle to each vertex is a. 6. ÷ -13 points SerCP10 16.P016 My Notes Ask Your Teacher (a) Show that the electric field at the center of the triangle is zero. (Submit a file with a maximum size of 1 MB.) Choose File no file selected Thu This answer has not been graded yet. (b) Find a symbolic expression for the electric potential at the center of the triangle. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb's constant.) (C) Give a physical explanation of the fact that the electric potential is not zero, yet the electric field is zero at the center This answer has not been graded yet. Need Help? Readit

Explanation / Answer

All charges are equidistant from the center of the triangle.

All charges are equal and the same sign. All we have to do is find the direction of each field at the center and sum the vectors

As the center point call it x, the direction of the field from the top of the triangle is 270 degrees

At x, the field from the lower right charge points at 150 degrees.

At x, the field from the lower left charge points at 30 degrees.

E = kq/a^2

To sum the vector fields, first sum the horizontal components:

Ecos270 + Ecos150 + Ecos30 = 0 -.866*E + 0.866*E = 0

Now sum the vertical components

Esin270 + Esin150 + Esin30 = -E + E/2 + E/2 = 0

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