Potential at a point due to a point charge is V. The charge is doubled and also the distance of the point from the charge is doubled. The new potential is

The electric potential (V) at a point due to a point charge (q) at a distance (r) is given by the formula V = kq/r, where k is the electrostatic constant [t1][t3][t4]. This relationship indicates that the potential is directly proportional to the magnitude of the charge and inversely proportional to the distance from the charge [t8]. According to the problem, the charge is doubled (q' = 2q) and the distance is also doubled (r' = 2r). Substituting these new values into the potential formula, the new potential V' = k(2q)/(2r). The factor of 2 in the numerator and denominator cancels out, resulting in V' = kq/r, which is equal to the original potential V [t3][t5]. Therefore, the potential remains unchanged despite the doubling of both parameters.