What is the Dimensional Formula of Electric Charge?

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].