# What is the Dimensional Formula of Electric Charge?

By Harshal Vispute|Updated : July 27th, 2022

When held in an electric or magnetic field, matter experiences a force due to its fundamental physical feature known as electric charge. An electric charge and an electric field are related, and a moving electric charge produces a magnetic field. The term "electromagnetic field" refers to a system of electric and magnetic fields. When placed in an electric and magnetic field, a subatomic particle's electric charge leads it to experience force. When a subatomic particle is exposed to an electric and magnetic field, it develops an electric charge, which causes it to feel a force. Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. The SI unit for electric charge is the coulomb. As a result, the electric charge's dimensional formula and Coulomb's are the same. The Charge is dimensionally represented as [M0 L0 T1 I1].

Where,

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

### Derivation

Electric Charge (Q) = Electric Current × Time . . . . (1)

The dimensional formula of Current and Time is [M0 L0 T1 I1] and [M0 L0 T1] respectively. . . . (2)

On substituting equation (2) in equation (1), we get,

Electric Charge = Electric Current × Time

Or, Q = [M0 L0 T1 I1]

Therefore, the charge is dimensionally represented as [M0 L0 T1 I1].

Summary:

## What is the Dimensional Formula of Electric Charge?

When a subatomic particle is exposed to an electric and magnetic field, it develops an electric charge, which causes it to feel a force. Protons and electrons are the most prevalent charge carriers for the two types of electrical charges—positive and negative. Electric charge, a fundamental characteristic of matter possessed by some elementary particles, controls how an electric or magnetic field affects the particles. Positive or negative electric charge exists in distinct natural units and cannot be manufactured or destroyed. The unit of electric charge in the meter–kilogram–second and SI systems is the coulomb. The Charge is dimensionally represented as [M0 L0 T1 I1].

Where,

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

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