At what point or points on the x-axis is the electric potential zero a +3.0 nc charge is at x=0 cm and a -1.0nc charge is at x=4cm.

The points on x - axis in which the electric potential between the two charges is zero are 3 cm and 6 cm.

The given parameters;

q₁ = 3 nC

q₂ = -1 nC

Let the point in which the potential between the two charges equal zero, lie  between the two charges.

Let the point = x₁

         (+q₁)----------------------(x₁)------------------------(-q₂)

The electric potential of due to each charge is calculated as;

Since the second charge is negative, another point in which the potential between the two charges will be zero will be right of second charge;

          (+q₁)----------------------------(-q₂)------------------(x₂)

Thus, the points on x - axis in which the electric potential between the two charges is zero are 3 cm and 6 cm.

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Potential will be zero at two points

x = 3 cm

x = 6 cm

Explanation:

Let the first point at which potential is zero is lying between two charges

so we will have

Let another point lies on the right side of -1 nC on x axis

so we will have