Calculation of Electric Potential Due to Point Charge

Given Data:
Electric charge, q = 6 x 10^-6 C
Point P coordinates, x = 12 m, y = 16 m

Formula Used:
The electric potential due to a point charge is given by the formula:
V = kq/r
Where,
k = Coulomb's constant = 9 x 10^9 Nm^2/C^2
q = electric charge
r = distance between the point charge and the point at which potential needs to be calculated

Calculation:
The distance between the point charge and point P is calculated as:
r = √(x^2 + y^2) = √(12^2 + 16^2) = √(400) = 20 m

Substituting the values in the formula, we get:
V = (9 x 10^9 Nm^2/C^2) x (6 x 10^-6 C) / (20 m)
V = 2.7 x 10^3 V = 2.7 kV

Therefore, the electric potential at point P due to the point charge is 2.7 kV.

Explanation:
Electric potential is a scalar quantity that measures the amount of work done in moving a unit positive charge from infinity to a point in an electric field. The electric potential due to a point charge is the amount of work done in moving a positive test charge from infinity to a point at a certain distance from the point charge.

In this problem, we are given the electric charge of a point charge and the coordinates of a point at which we need to calculate the electric potential. Using the formula for electric potential due to a point charge, we can calculate the electric potential at the given point.

The distance between the point charge and the given point is calculated using the Pythagorean theorem. Substituting the values in the formula, we get the electric potential at the given point.

The unit of electric potential is volts (V) and it is a scalar quantity. The electric potential due to a point charge decreases as the distance from the point charge increases.