wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following is not true?


A

For a point charge, electrostatic potential varies as 1/r

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

For a dipole, the potential depends on the magnitude of the position vector and dipole moment vector

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

The electric dipole potential varies as 1/r at a large distance

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

For a point charge, the electrostatic field varies as 1/r2.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

The electric dipole potential varies as 1/r at a large distance


Explanation for correct option:

In the case of option C,

  1. A dipole is defined as a pair of opposite charges with d the distance between them.
  2. The electrical potential is a gradient scalar field that becomes a vector field.
  3. A charging device makes it easier to find potential because it is a scalar field. In some locations, it is the summation of electrical potentials by single charges.
  4. For an Electric dipole, we have,
    • V=14πεoqr2V1r2
    • Where V is the electric dipole potential, εo is the permeability of space, q is the charge, and r is the distance between charges.
  5. Electric dipole potential varies inversely with the square of the distance.
  6. Hence, the electric dipole potential does not vary as 1r at a large distance, It varies as 1r2

Explanation for incorrect option:

In the case of option A:

  1. An electric potential is the amount of work necessary to move a unit positive charge from a point of reference to a specific point within an electric field without causing acceleration.
  2. The electrostatic potential varies inversely proportionate to the charge distance
  3. It is written as, Vα1r
    1. Where V is electrostatic potential and r is the distance between charge.
  4. Hence, for a point charge, electrostatic potential varies as 1/r.
  5. So option A is incorrect.

In the case of option B:

  1. The dipole's potential is determined by the scale of the position vector and the dipole's vector.
  2. It can be given by, V=p^.r^4πεor2
  3. Hence, for a dipole, the potential depends on the magnitude of the position vector and dipole moment vector.
  4. So option B is not correct.

In the case of option D:

  1. When charge carriers, such as electrons, are stationary, electrostatic fields can form as a result of a potential difference or voltage gradient.
  2. Electric charge is given by, F=e4πεor2
    1. Where eis a charge, εois the permeability of space, and is the distance between charges.
  3. This shows that the electric field is inversely proportional to the square of the distance between charges.
  4. Hence, The electrostatic field varies as 1r2 for a point charge.
  5. So option D is not correct.

Hence option C is correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Field and Potential Due to a Dipole
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon