The electrostatic potential due to an electric dipole at a distance ' r𝑟 ' varies as
Question
The electrostatic potential due to an electric dipole at a distance ' r𝑟 ' varies as
Solution
The electrostatic potential (V) due to an electric dipole at a point located at a distance 'r' from the center of the dipole is given by the formula:
V = kp cos(θ) / r²
where:
- k is Coulomb's constant (8.99 x 10^9 N m²/C²),
- p is the dipole moment (product of the charge and the separation distance),
- θ is the angle between the dipole axis and the line connecting the point and the dipole center,
- r is the distance from the point to the dipole center.
This formula shows that the electrostatic potential due to an electric dipole varies inversely with the square of the distance from the point to the dipole center (1/r²). It also depends on the cosine of the angle θ, meaning it varies with the orientation of the dipole relative to the point.
Similar Questions
The electric field strength E of a dipole varies:ans. inversely as cube of distanceInversely as distance Directly as square of distance Inversely as square of distance Previous Marked for Review Next
At a point on the axis of an electric dipole
The 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 r3b. is inversely proportional to r2c. Independent of rd. is inversely proportional to r
Consider a dipole with charge q = 1.65 nC and separation d = 0.549 m. What is the potential a distance x = 0.699 m from the center of this dipole at an angle θ = 63.7° with respect to the dipole axis, as shown in the figure? V
The electric potential on the axis of an electric dipole at a distance‘r from it’s centre is V. Then the potential at a point at the samedistance on its equatorial line will be(i) 2V(ii) -V(iii) V/2(iv) Zero1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.