Home
Class 12
PHYSICS
Two small electric dipoles each of dipol...

Two small electric dipoles each of dipole moment `p hati` are situated at `(0,0,0)` and `(r,0,0)`. The electric potential at a point `((r)/(2),(sqrt(3r))/(2),0)` is:

A

`(p)/(4pi in_(0)r^(2))`

B

0

C

`(p)/(2pi in_(0)r^(2))`

D

`(p)/(8pi in_(0)r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B


As `ON = MN = OM = r`
So its equilateral triangle
`:.` Potential at N due to two dipoles ,
`V = V_(1)+V_(2)=(Kpcos 60^(@))/(r^(2))+(Kp cos(pi -60^(@)))/(r^(2))=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.32|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.33|20 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.30|9 Videos
  • CURRENT ELECTRICITY

    RESONANCE|Exercise High Level Problems (HIP)|21 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

A very small electric dipole with dipole moment p is placed in such in way that it is at a distance r from another point charge +q. The point charge lies on the axis of the dipole . Electric dipole moment is pointing towards the point charge. Determine electric dipole will attract the point charge or repel it ? What will be the magnitude of force between them ?

A short electric dipole has dipole moment p. Find the distance of farthest point from the dipole where (a) potential due to the dipole is V_0 (b) Electric field due to the dipole is E_0

Knowledge Check

  • A small electric dipole is placed at origin with its dipole moment directed along positive x-axis. The direction of electric field at point (2, 2sqrt(2), 0) is

    A
    along z-axis
    B
    along y-axis
    C
    along negative y-axis
    D
    along negative z-axis
  • A small electric dipole is placed at origin with its dipole moment directed along positive x-axis .The direction of electric field at point (2,2sqrt(2),0)

    A
    along z-axis
    B
    along y-axis
    C
    along negative y-axis
    D
    along negative z-axis
  • Two point charges -q and +q are located at points (0,0-a) and (0,0,a) resepctively.The electric potential at point (0,0,z) is (Z gt a)

    A
    `(qa)/(4piepsilon_(0)z^(2))`
    B
    `(q)/(4piepsilon_(0)a)`
    C
    `(2qa)/(4piepsilon_(0)(z^(2)-a^(2)))`
    D
    `(2qa)/(4piepsilon_(0)(z^(2)+a^(2)))`
  • Similar Questions

    Explore conceptually related problems

    A point P lies on the perpendicular bisector of a short electric dipole, of dipole moment p' at a distance r from the centre of dipole. The electric field at point P is proportional to

    Electric field at a point varies as r^(0) for

    Two point dipoles p hatk and p/2 hatk are located at (0, 0, 0) and (1m, 0, 2m) respectively. The resultant electric field due to the two dipoles at the point (1m, 0, 0) is

    A tiny electric dipole of dipole moment vecP = P_0hatj is placed at point (l,0). There exists an electric field vecE = 2ax^2hati + (2by^2 + 2cy)hatj .

    Two short dipoles phat(k) and P/2 hat(k) are located at (0,0,0) & (1m, 0,2m) respectivley. The resultant electric field due to the two dipoles at the point (1m, 0,0) is