A point charge q=+4.7nC is placed at each corner of an equilateral triangle with sides of 0.21m in length.

a) What is the magnitude of the electric field at the midpoint of the three side of the triangle?

b) Is the magnitude of the electric field at the centre of the triangle greater than, less than, or the same as the magnitude at the midpoint of a side? Explain.

1 answer

a) E1=E3
An altitude of the triangle is
a•cos30o =0.866•a,
E(net)= E2=k•q/(0.866•a)^2,
where k=1/4πεo =9•10^9.

b) E(net) =0