The electric potential is a scalar and is given by:
V = k * q / r
Assuming that the net potential on the y axis at y = d cm is zero, then at this point (assuming P)
V_net = V1 + V2 = 0
k * q1 / r1 + k * q2 / r2 = 0
k * q2 / r2 = -k * q1 / r1
q2 / r2 = -q1 / r1
Assumption: q1 = -3.0 nC&q2 = 4.0 nC
r1 = distance between q1 and P = sqrt((-9.0-0)^2 +(0-d)^2) = sqrt(81 + d^2)
r2 = distance between q2 and P = sqrt((19-0)^2 +(0-d)^2) = sqrt(361 + d ^ 2)
and so,
4.0 / square foot (361 + d ^ 2) = 3.0 / square foot (81 + d ^ 2)
Square sides
16.0 / (361 + d ^ 2) = 9.0 / (81 + d ^ 2)
16 * 81 + 16 * d ^ 2 = 9.0 * 361 + 9.0 * d ^ 2
d ^ 2 = [9.0 * 361-16 * 81] /7.0 = 279
d = square feet [279] = \ pm 16.7 cm
So the potential will be zero at the point
y = 16.7 cm & y = -16.7 cm
At what point or points on the y-axis is the electric potential zero.
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