Dimensions of Dipole Moment

Dimensional Formula of Dipole Moment (Magnetic or Electric)

The dimensional formula of magnetic or electric dipole moment is given by,

[M0 L1 TI1]

Where,

  • M = Mass
  • I = Current
  • L = Length
  • T = Time

Derivation

Dipole Moment (M) = Charge × Distance . . . . . . (1)

Since, Charge = Electric current × time

∴ The dimensional formula of charge = [M0 L0 IT1] . . . . . (2)

The dimensions of distance = [M0 L1 T0] . . . . . (3)

On substituting equation (2), (3) and (4) in equation (1) we get,

Dipole Moment = Charge × Distance

Or, M = [M0 L0 IT1]2 × [M0 L1 T0] = [M0 L1 TI1].

Therefore, the magnetic or electric dipole moment is dimensionally represented as [M0 L1 TI1].

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