The potential of an electric dipole at a large but finite distance 'r' from the midpoint of the dipole can be determined by considering the formula for the potential due to a dipole. The potential at a point on the axial line of the dipole is given by the equation:

V = (k * p * cosθ) / r^2

Where V is the potential, k is the electrostatic constant, p is the dipole moment, θ is the angle between the dipole moment and the line connecting the dipole to the point, and r is the distance from the midpoint of the dipole to the point.

In this case, since the distance 'r' is large but finite, we can assume that the angle θ is small. Therefore, we can approximate cosθ as 1.

Substituting this approximation into the equation, we get:

V ≈ (k * p) / r^2

From this equation, we can see that the potential is inversely proportional to r^2.

Therefore, the correct answer is option b: is inversely proportional to r^2.

Question

The potential of an electric dipole at a large but finite distance 'r' from the midpoint of the dipole can be determined by considering the formula for the potential due to a dipole. The potential at a point on the axial line of the dipole is given by the equation:

V = (k * p * cosθ) / r^2

Where V is the potential, k is the electrostatic constant, p is the dipole moment, θ is the angle between the dipole moment and the line connecting the dipole to the point, and r is the distance from the midpoint of the dipole to the point.

In this case, since the distance 'r' is large but finite, we can assume that the angle θ is small. Therefore, we can approximate cosθ as 1.

Substituting this approximation into the equation, we get:

V ≈ (k * p) / r^2

From this equation, we can see that the potential is inversely proportional to r^2.

Therefore, the correct answer is option b: is inversely proportional to r^2.

Knowee AI · Accepted Answer

The potential of an electric dipole at a large but finite distance 'r' from the midpoint of the dipole can be determined by considering the formula for the potential due to a dipole. The potential at a point on the axial line of the dipole is given by the equation:

V = (k * p * cosθ) / r^2

Where V is the potential, k is the electrostatic constant, p is the dipole moment, θ is the angle between the dipole moment and the line connecting the dipole to the point, and r is the distance from the midpoint of the dipole to the point.

In this case, since the distance 'r' is large but finite, we can assume that the angle θ is small. Therefore, we can approximate cosθ as 1.

Substituting this approximation into the equation, we get:

V ≈ (k * p) / r^2

From this equation, we can see that the potential is inversely proportional to r^2.

Therefore, the correct answer is option b: is inversely proportional to r^2.

he potential of an electric dipole at a large but finite distance 'r' from the mid point of a dipole Select one:a. is inversely proportional to rb. is inversely proportional to r2c. Independent of rd. is inversely proportional to r3

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