Two point charges -q and +q are placed at a distance of L, as shown in the figure.

F1 Madhuri Others 08.08.2022 D17

The magnitude of electric field intensity at a distance R(R >> L) varies as:

  1. \(\frac{1}{R^{6}}\)
  2. \(\frac{1}{\mathrm{R}^{2}}\)
  3. \(\frac{1}{\mathrm{R}^{3}}\)
  4. \(\frac{1}{\mathrm{R}^{4}}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{1}{\mathrm{R}^{3}}\)
Free
CT 1: Botany (Cell:The Unit of Life)
32.7 K Users
25 Questions 100 Marks 20 Mins

Detailed Solution

Download Solution PDF

Concept: 

For finding the magnitude of the magnetic moment of the electric field we should know how it varies with distance. 

We should check whether it is a monopole moment, dipole, or quadrupole moment.

First, we have to check its monopole moment which is known as sum of total charges i.e. m = ∑ Qi 

where Q = charge placed 

If the monopole moment is zero then the system is independent on considering the frame of the origin or we can consider our origin at any point to make our calculation easier.

Electric dipole moment is = P = ∑ pi = ∑ q.dx = charge × distance

If it is zero then we have to test its quadrupole moment for the electric field. 

Calculation:

Given:  two charges +q and -q placed at distance L.  

Electric monopole moment is = m = -q +q = 0

Here electric monopole moment becomes zero so we have to calculate its electric dipole moment.

We are free to consider origin anywhere because the monopole moment is zero.

F1 Madhuri Others 08.08.2022 D18

Electric dipole moment is = P = charge × distance (with directions)

The electric field is towards for negative charge and away from the positive charge.

Dipole moment = P = q(L/2) (î) + (-q)(L/2)(-î) = qL (î)

so here, the dipole moment is non-zero. we know that for dipole moment electric field varies as E ∝ 1/R3 

Hence Option 3) is correct.

Latest NEET Updates

Last updated on Jun 16, 2025

-> NTA has released the NEET Scorecard 2025 on the official website.

-> NEET Toppers List 2025 is now available. Candidates can check the names, scores, and all India ranks of the highest scorers.

-> NEET final answer key 2025 has been made available on June 14, 2025 on the official website for the students to check.

->NEET 2025 exam is over on May 4, 2025.

-> The NEET 2025 Question Papers PDF are now available.

-> NTA has changed the NEET UG Exam Pattern of the NEET UG 2025. Now, there will be no Section B in the examination.

-> Candidates preparing for the NEET Exam, can opt for the latest NEET Mock Test 2025

-> NEET aspirants can check the NEET Previous Year Papers for their efficient preparation. and Check NEET Cut Off here.

More Electromagnetic Induction and Inductance Questions

Get Free Access Now
Hot Links: teen patti classic teen patti winner teen patti gold new version 2024 teen patti fun