Dimensional Formula of Dipole Moment (Magnetic or Electric)

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

[M⁰ L¹ T¹ I¹]

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 I¹ T¹] . . . . . (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 I¹ T¹]× [M⁰ L¹ T⁰] = [M⁰ L¹ T¹ I¹].

Therefore, the magnetic or electric dipole moment is dimensionally represented as [M⁰ L¹ T¹ I¹].

⇒ Check Other Dimensional Formulas:

• Dimensions of Wavelength
• Dimensions of Energy Density
• Dimensions of Current Density
• Dimensions of Surface Energy
• Dimensions of Power of Lens