Final answer:
The electric potential at a point midway between two point charges can be calculated using the formula: V = (k * Q1) / d1 + (k * Q2) / d2, where V is the electric potential, k is the Coulomb constant (9 x 10^9 Nm^2/C^2), Q1 and Q2 are the values of the point charges, and d1 and d2 are the distances of the point charges from the point midway between them.
Step-by-step explanation:
The electric potential at a point midway between two point charges can be calculated using the formula:
V = (k * Q1) / d1 + (k * Q2) / d2
Where V is the electric potential, k is the Coulomb constant (9 x 10^9 Nm^2/C^2), Q1 and Q2 are the values of the point charges (+5.10 nC and -1.80 nC respectively), and d1 and d2 are the distances of the point charges from the point midway between them (12.5 cm each).
Substituting the values into the formula, we get:
V = (9 x 10^9 * 5.10 x 10^-9) / (0.125) + (9 x 10^9 * -1.80 x 10^-9) / (0.125)
V = 36.72 V