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Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining centre to this point makes an angle θ with the axis of the dipole, then potential at the point P is given by
  • a)
    V = p cos θ/4 π ∈₀ r2
  • b)
    V = p cos θ/4 π ∈₀ r
  • c)
    V = p sin θ/4 π ∈₀ r
  • d)
    none
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two equal charges q of opposite sign separated by a distance 2a consti...
Electric Dipole Potential Calculation
Electric potential at a point P due to an electric dipole can be calculated using the formula:
V = k * p * cos(θ) / r^2

Calculation Explanation
- Given that the dipole moment is p and the distance from the centre of the dipole to point P is r.
- The angle between the line joining the dipole centre to point P and the axis of the dipole is θ.
- Using the above formula, we can calculate the potential at point P.

Substitute Given Values
- Substitute the given values into the formula:
V = k * p * cos(θ) / r^2

Electric Field Constant
- The electric field constant k is equal to 1 / (4 * π ε0), where ε0 is the permittivity of free space.

Final Potential Calculation
- After substituting the values and simplifying the expression, we get:
V = p * cos(θ) / (4 * π r^2)
Therefore, the correct expression for the potential at point P due to the electric dipole is:

V = p * cos(θ) / (4 * π r^2)
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Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining centre to this point makes an angle θ with the axis of the dipole, then potential at the point P is given bya)V = p cos θ/4 π ∈ r2b)V = p cos θ/4 π ∈ rc)V = p sin θ/4 π ∈ rd)noneCorrect answer is option 'A'. Can you explain this answer?
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