Question

the dimensional formula of electric intensity is

Answer 1

electric field = force / charge 
= M L T-² / A T 
= M L T-³ A-¹

Answer 2

The dimensional formula of electric field intensity is, $[E]=[MLT^{-3}A^{-1}]$

Explanation:

We know that electric field intensity due to a charged particle is defined as the electric force acting on it per unit positive charge. It is given by :

$E=\dfrac{F}{q}$

Where

q is the point charge

F is the electric force, F = qE

We know that the dimensional formula of force is, $[F]=[MLT^{-2}]$

The dimensional formula of electric charge is, $[q]=[AT]$, A is ampere

So,

The dimensional formula of electric field intensity is,

$[E]=\dfrac{[MLT^{-2}]}{[AT]}$

$[E]=[MLT^{-3}A^{-1}]$

Hence, this is the required solution.

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