There is a point charge of 32.4 nC in the air. find the potential of a point in the field 5.4 cm away from it.

To find out the required potential of a field point, consider the formula: φ = k * q / * r.

Const: k – coefficient of proportionality (k = 9 * 10 ^ 9 N * m2 / Kl2).

Data: q – known point charge (q = 32.4 nC = 32.4 * 10 ^ -9 C); r is the distance of the field point (r = 5.4 cm; in the SI system r = 5.4 * 10 ^ -2 m).

Let’s perform the calculation: φ = k * q / * r = 9 * 10 ^ 9 * 32.4 * 10 ^ -9 / (5.4 * 10 ^ -2) = 5.4 * 10 ^ 3 V.

Answer: The sought potential of the field point is 5.4 kV.