Three equal positive charges q are at the corners of an equilateral triangle of side a as shown in the figure below. Assume the three charges together create an electric field.
(a) Sketch the field lines in the plane of the charges.
(b) Find the location of one point (other than ā) where the electric field is zero.
- at P
- at the center of the triangle
- at each vertex
- at the center of the base
(c) What is the magnitude of the electric field at P due to the two charges at the base? (Use any variable or symbol stated above along with the following as necessary: k_e.)
(d) What is the direction of the electric field at P due to the two charges at the base?
- to the left
- to the right
- upward
- downward