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
N/C
k
Coulomb constant
8.99×10⁹
N·m²/C²
p
Dipole moment
Electric dipole moment
C·m
r
Distance
From dipole center (r >> d)
m

Derivation

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

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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.