Charges q₁ = +13nC for the first charge and q₂ = -13nC for the second charge. The charges are arranged at the bottom of an equilateral triangle with each side being 13.0 cm. q₁ is at the bottom left and q₂ is at the bottom right. Point a is +6cm from q₁ to the right and point b is -4 cm from q₁ to the left and point c is at the vertex of the triangle.

a) Calculate the electric potential at point a, point b, and point c.

b) Now, place a charge of +12 nC at point a.

i. Calcule the work done by the electric field if I move the charge from point a to b.

ii. Calcule the work done by the electric field if I move the charge from point a to c.

I am really trying to understand this material, I tried working through it on my own but am not sure of my answers. For part a I got a = 0, b = 2.24 x 10¹⁹ and c = 0. I am not sure if these are correct, so seeing someone else work throught hem would be very helpful. For part b, I am very shaky on the matieral, for ii. I believe the total work done may be 0, but again, I am not two confident in that answer, and for part i I am not sure at all. Still attempting to work threw it. Any help is greatly appreciated.