Question

s shwn in tfisure belforn an esmilaten iangle with4.mg sides whatis the eucic Poted ndicated unth the dot and the elucic ald vechw -Inc Inc

please I really need the solution to the electric field vector and not the electric potential. thanks

the dot is at the center of the equilateral triangle

yes, is a centroid

Answer 1

Given data: Q_1 = + 2nc = 2 times 10^-9 C Q_2 = -1nc = -1 times 10^-9 C Q_3 = -1nc = -1 times 10^-9 C In the equilatoid triangle disides equal ie. AB = BC = AC = 4.9 cm We know that the formula for electric potential (v) = kq/r So, the total electric potential v_T = v_1 + v_2 + v_3 = kq_1/r_1 + kq_2/r_2 + kq_3/r_3 = kq_1/r + kq_2/r + kq_3/r [therefore where r_1 = r_2 = r_3 = r] = k/r (q_1 + q_2 + q_3) [therefore where k = 9 times 10^9] = k/r (2 + (-1) + (-1)) times 10^-9 k/r (2 - 1 - 1) times 10^-9 = k/r (0) times 10^-9 = 0 volts therefore Electric Potential (v_T) = 0 volts.