From the origin of an electric dipole, the charge is 25(micro coulomb) and after a distance of 62cm, the charge is -16(micro coulomb). At what point from the origin the value of electric dipole will be zero.

To find the point at which the electric dipole moment becomes zero, we need to identify the position where the magnitude of positive and negative charges are equal.

Let's assume the positive charge is located at point A, and the negative charge is located at point B. The electric dipole moment is given by the formula:

p = q * d

where p is the electric dipole moment, q is the magnitude of the charge, and d is the distance between the charges.

Given that the charge at point A is 25 microcoulombs and the charge at point B is -16 microcoulombs, we can write:

p = 25 * 10^(-6) C * d - 16 * 10^(-6) C * (62 cm - d)

Simplifying further:

p = 25 * 10^(-6) d - 16 * 10^(-6) (62 cm) + 16 * 10^(-6) d

p = (25 - 16) * 10^(-6) d - 16 * 10^(-6) (62 cm)

p = 9 * 10^(-6) d - 16 * 10^(-6) (62 cm)

To find the point at which the electric dipole moment becomes zero, we need to solve the equation p = 0. Rearranging the equation:

0 = 9 * 10^(-6) d - 16 * 10^(-6) (62 cm)

0 = 9d - 16*62

Solving for d:

9d = 16*62

d = (16*62) / 9

Now we can calculate the value of d:

d = 111.11 cm

Therefore, the electric dipole moment becomes zero at a point 111.11 cm away from the origin.

To determine at what point from the origin the value of the electric dipole will be zero, we can use the formula for the electric dipole moment:

P = q * d

where P is the electric dipole moment, q is the charge, and d is the distance between the charges.

Given that the initial charge at the origin (x = 0) is 25 microcoulombs (25 x 10^-6 C) and the charge after a distance of 62 cm (0.62 m) is -16 microcoulombs (-16 x 10^-6 C).

Let's assume the point where the electric dipole moment is zero is located at distance x from the origin.

Using the formula above, we can set up the equation:

(25 x 10^-6 C) * (x) = (-16 x 10^-6 C) * (0.62 m - x)

Simplifying:

25x = -16(0.62 - x)

25x = -9.92 + 16x

25x - 16x = -9.92

9x = -9.92

x = -9.92 / 9

x ≈ -1.102 m

Therefore, at a point approximately 1.102 meters from the origin (in the opposite direction of the -16 microcoulomb charge), the value of the electric dipole will be zero.