Electricity & Magnetism

Electric Dipole Field (Axial)

E=2kpr3E = \frac{2kp}{r^3}

Electric field along the axis of an electric dipole.

Variables

E
Electric field
Field on axis
In SI units: kg·m/(A·s³)
N/C
k
Coulomb constant
8.99×10⁹
In SI units: kg·m³/(A²·s⁴)
Allowed values: greater than 0
N·m²/C²
p
Dipole moment
Electric dipole moment
In SI units: A·s·m
C·m
r
Distance
From dipole center (r >> d)
Allowed values: greater than 0
m

Derivation

From superposition of fields from +q and -q, for r >> d.

Your notes

0/5000

Constants in this formula

k
8.988 × 10⁹. Measured (from CODATA 2018 ε₀).
N·m²/C²

Check value

Round inputs run through this page's calculator, with each constant at its tabulated value. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.

  • k = 8.988 × 10⁹ N·m²/C² (Coulomb constant)
  • p = 2 C·m (Dipole moment)
  • r = 3 m (Distance)

Result: E = 1.331556 × 10⁹ N/C

Other electricity & magnetism formulas with the same quantities

Where this formula is listed

Common questions

What is the Electric Dipole Field (Axial) formula?

Electric Dipole Field (Axial) is written E = 2kp/r³. Electric field along the axis of an electric dipole. It belongs to Electricity & Magnetism, under Electrostatics.

What are the units in E = 2kp/r³?

In SI units, E is electric field, measured in kg·m/(A·s³); k is coulomb constant, measured in kg·m³/(A²·s⁴); p is dipole moment, measured in A·s·m; r is distance, measured in m.

How is the Electric Dipole Field (Axial) formula derived?

From superposition of fields from +q and -q, for r >> d. The result is E = 2kp/r³.