Dimensional Formula Of Dipole Moment

A dipole moment is used to describe the presence of electric or magnetic charges around a system. The mathematical product of the separation of these electric or magnetic charges can be defined as the dipole moment. The molecules with more than two polar bonds are not symmetrical and hence contain dipole moments in them. The unit by which dipole moment (magnetic or electric) is measured is C-m (Coulomb-metre)

Dipole Moment Magnetic 

A magnetic dipole is a substance where two opposite magnetic poles (north and south) of equal strength are kept at a very short distance. These dipoles can be bar magnets, current loops, etc.

A magnetic dipole is equivalent to the flow of current around a loop. When an electron rotates around the positively charged nuclei, it forms a magnetic dipole. An element with the sum of all these dipoles cancels out and makes a neutral element with no magnetic dipole. However, in cases where the dipoles are not balanced, it creates a permanent magnetic dipole like iron. 

A magnetic dipole moment is the strength and orientation of the magnetic field created by the dipole. It can be defined as the ability of a magnetic dipole to align itself with the magnetic field outside. The magnetic moment of a dipole or a magnetic dipole moment can be defined as the maximum torque produced by a magnetic dipole per unit value of the magnetic field in the surrounding area.

It can be measured as:

τ = m × B

τ represents the torque

m represents the magnetic moment

B represents the magnetic field outside

Magnetic dipole, i.e. the presence of both poles of a magnet, creates a magnetic field. For example, if a bar magnet breaks into two, the pieces will act as magnetic dipoles individually, where both pieces will contain a north and a south pole.

Dipole Moment Electric

A dipole is a configuration of multiple charges having an equal but opposite electrical charge due to two separated positive and negative charges or a single source carrying both the charges. Charges are always surrounded by a field. For a positive charge, the field is the region around it with the direction pointing away from it. While for a negative charge, the field is the region around it with the direction pointing towards it. A dipole consists of two equal and opposite point charges and has an electric field not similar to that of a single charge. 

One end of the dipole is positive, and another end is negative. So, there will be two forces acting on the object having a dipole. One will attract it towards the negatively charged end, and the other will attract it towards the positively charged end. Dipole moment (p) is defined as the product of distance (d) between charges and magnitude of each charge (q), i.e. p = q x d.

Dimensional Formula of Dipole moment

The formula of dipole moment is given by 𝛍 = Q*d

Where, 𝛍 is the dipole moment, 

Q is the charge and 

d is the distance of separation

The dimensional formula of charge is given by Q = [M0L0T1I1] 

The dimensional formula of distance [M0L0T1]

By substituting these formulas in the dipole moment formula,

 𝛍 = [M0L0T1I1] * [M0L1T0]

    = [M0L1T1I1] 

Here, M is mass, L is length, T is time and I is current

Therefore, the dimensional formula of the dipole moment (magnetic or electric) is given by  [M0L1T1I1] 

Importance of Dimensional Formula of Dipole moment 

The dimensional formula of dipole moment helps us to understand:

• The physical correctness of any equation involving force in it.
• The relationship between different physical quantities involving dipole moment (Magnetic or electric).
• Converting units from one physical quantity to another.
• Finding out the constant dimensions in any relationship.

Importance of Dipole Moment 

 Dipole moment is used to determine:

• The strength of an electric or magnetic field in a system of charges

• The nature of the electric or magnetic molecules 
• The shape of the molecules 
• Comparing the polarities of the molecules

Conclusion :

Dipole moment is the measure of the separation of the positive and negative charges in a system. It is mainly used for determining the shape, polarity and strength of the charges. This article briefly acts as the dipole moment(magnetic or electric) charges. Dipole moment has a variety of applications. Right from using it for finding the distinction between polar and nonpolar molecules to finding the shapes of molecules, the dipole moment is an important phenomenon.