What are the dimensions of electrical permittivity? (A) M L^-2 T^-2 Q^-2 (B) M^-1 L^2 T^-3 Q^-1

step 1 In this question we will learn about some basic concept of the units in measurement. The questio

What are the dimensions of electrical permittivity? (A) M...

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Key Concepts

Dimensional Analysis

Dimensional analysis is a method used in physics to express physical quantities in terms of their basic dimensions such as mass, length, time, and charge. This approach helps verify the consistency of equations and derive relations by comparing the dimensions on both sides of an equation.

Electrical Permittivity

Electrical permittivity represents a material's ability to permit electric field lines to pass through it. In vacuum, it is a constant that appears in Coulomb’s law and influences how electric forces are transmitted through space. Its dimensional formula can be deduced by analyzing the units involved in the force between charged particles.

Coulomb's Law

Coulomb's Law quantifies the electrostatic force between two point charges, stating that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. This law introduces the constant of electrical permittivity, whose dimensions can be determined through the relationship established in the law.

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