Find the dimensions of
A. electric dipole moment p and
B. magnetic dipole moment M.
The defining equations are p = q.d and M = IA;
where d is distance, A is area, q is charge and I is current.
A. Electric dipole moment is the amount of polarity of an electric dipole which consists of 2 charges of equal magnitude but opposite polarities separated by a small distance.
Electric dipole moment is given by
Electric dipole moment(p) = magnitude of charge(q) × distance (d)
Dimensions of q = [TA]
Dimensions of d = [L]
Dimensions of p = [TA] × [L] = [TAL]
B. Magnetic dipole moment is defined as the strength of a magnetic object in a magnetic field.
Magnetic dipole moment is given as
Magnetic dipole moment (M) = current (I) × area (A)
Dimensions of I = [A]
Dimensions of A = [L2]
Dimensions of M = [L2] × [A] = [L2A]