Question

A point dipole →p=−p0^x kept at the origin. The potential and electric field due to this dipole on the y−axis at a distance d are, respectively :

(Take V=0 at infinity)

Answer 1

The potential due to a dipole at the origin on the y-axis at a distance d can be calculated using the formula V = k * p * cos(theta) / r^2. The electric field due to the dipole can be calculated using the formula E = k * p * sin(theta) / r^3.

Step-by-step explanation:

The potential due to a dipole at the origin on the y-axis at a distance d is given by:

V = k * p * cos(theta) / r^2

Where:

• V is the potential
• k is the electrostatic constant
• p is the electric dipole moment, which is equal to qd, where q is the charge and d is the distance between the charges
• theta is the angle between the dipole axis and the line joining the dipole to the point
• r is the distance between the dipole and the point

The electric field due to the dipole on the y-axis at a distance d is given by:

E = k * p * sin(theta) / r^3

Where:

• E is the electric field
• k is the electrostatic constant
• p is the electric dipole moment, which is equal to qd, where q is the charge and d is the distance between the charges
• theta is the angle between the dipole axis and the line joining the dipole to the point
• r is the distance between the dipole and the point