Home
Class 12
PHYSICS
Two charges - q and +q are located at po...

Two charges - q and +q are located at points (0, 0, - a) and (0,0, a), respectively.
What is the electrostatic potential at the points (0, 0, z) and (x, y,0) ?

Text Solution

Verified by Experts

The given charges behave as an electric dipole and the dipole length is 2a, hence dipole moment `p = q.2a`.
For given dipole, point (0,0, z) lies at the axial line at a distance z from the mid-point of dipole. Hence
`V = 1/(4pi epsi_0).p/((z^2-a^2))`
However, the point (x, y,0) lies at the equatorial line of dipole and hence electric potential at this point is zero.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise CASE BASED/SOURCE-BASED INTEGRATED QUESTIONS|18 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise MULTIPLE CHOICE QUESTIONS|35 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise SELF ASSESSMENT TEST|1 Videos

  • ELECTROMAGNETICE INDUCTION

    U-LIKE SERIES|Exercise Self Assessment Test Section -D|1 Videos

  • EXAMINATION PAPER 2020 (SOLVED)

    U-LIKE SERIES|Exercise SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

Two charges -q and +q are located at points (0, 0, –a) and (0, 0, a), respectively. (a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ? (b) Obtain the dependence of potential on the distance r of a point from the origin when r//a gt gt 1 . (c) How much work is done in moving a small test charge from the point (5,0,0) to (–7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis?

Two charges -q and +q are located at points (0,0,-a) and (0,0,a) respectively. (i) What is the electrostatic potential at the points at the points (0,0,z) and (x,y,0)? (ii) Obtain the depentence of potential on the distance r of the point form the origin, when (r)/(a) gt gt 1 . (iii) How much work is done in moving a small test charge from the point (5,0,0) to (-7,0,0) along the x-axis. Does the answer charge if path of test charge between the same points is not along the x-axis ?

Knowledge Check

  • 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)))`

  • Two point charges q and –q are at positions (0,0,d) and (0,0, –d) respectively . What is the electric field at (a,0,0 ) ?

    A
    `(2qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`
    B
    `(qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`
    C
    `(-2qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`
    D
    `(-qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`

    • Similar Questions

    Explore conceptually related problems

    Two point charges q and - q are located at points (0 , 0 , - a ) and (0 , 0 , a) respectively : (a) Find the electrostatic potential at (0 , 0 , z) and ( x , y , 0). (b) How much work is done in moving a small test charge from the point (5 , 0 , 0 , ) to (-7 , 0 , 0 ) along the x - axis ? (c) How would your answer change if the path of the test charge between the same points is not along the x axis but along any other random path ? (d) If the above point charges are now placed in the same position in a uniform external electric field vecE , what would be the potential energy of the charge system in its orientation of unstable equilibrium ? Justify your answer in each case .

    Two charges - q and +q are located at points (0, 0, - a) and (0,0, a), respectively. Obtain the dependence of potential on the distance r of a point from the origin when r/a gt gt 1 .

    Two charges - q and +q are located at points (0, 0, - a) and (0,0, a), respectively. How much work is done in moving a small test charge from the point (5, 0, 0) to (-7,0,0) along the x-axis ? Does the answer change if the path of the test charge between the same points is not along the x-axis ?

    Two point charges 8 muC and -8muC are kept at points (-2cm, 0) and (2cm, 0), respectively. Calculate the electric potential at points (0, 7cm) and (4cm, 0).

    Two charges - q and + q are located at points A(0, 0, -a) and B(0, 0, +a) respectively. How much work is done in moving a test charge from point P(7,0,0) to Q(-3,0,0) ?

    (i) Can two equaipotential surfaces intersect each other ? Give reasons (ii) Two charges -q and +q are located at point A (0, 0 -a) and B(0, 0, +a) respectively. How much work is done in moving a test charge from point P (7, 0, 0) " to " Q(-3, 0, 0) ?

    Home
    Profile