Question

Magnitude of electric field due to an electric dipole at a distance r from it, at axial position is given as E. The magnitude of electric field due to the dipole at a distance 2r from it, on equatorial line is
1. E/8
2. E/16
3. 8E
4. 16E​

Answer 1

Answer:

I think the answer is

E/16.

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Answer 2

Solution:

In First Case

The magnitude of electric field due to an electric dipole  is E and distance is r

At axial position E is given as,

E = 2/r³

E = 1/r³ × 2

1/r³ = E/2

In Second Case

On equatorial position, magnitude of electric field due to dipole is E1 (let) and distance  is 2r

Using the formula of E1

E1 = 1/(2r)³

E1 =1/8r³

E1 = 1/r³ × 1/8

Putting the value of 1/r³ , we get

E1 = E/2 × 1/8

E1 = E/16

Thus, The magnitude of electric field due to the dipole at a distance 2r from it is E/16.