# Dimensions Of Electric Flux

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## Introduction: Electric flux

Electrical flux is the measure of the electrical field through a given surface although an electrical field cannot flow in itself. It is a way to describe the strength of the electric field at any distance from the charge that causes the field.

At any point in space the electric field E will exert a force on an electrical charge. The electric field shall be proportional to the voltage gradient.

### Dimensional Formula of Electric Flux

The dimensional formula of electric flux is expressed by,

[M1 L3 T-3 I-1]

Where,

• M = Mass

• I = Current

• L = Length

• T = Time

Derivation

Electric Flux (ΦE) = E × S × cos θ -------------------------- (1)

Whereas,

E = Magnitude of the electric field

S = Surface Area

The dimensional formula of area (S) = [M0 LT0] --------------------------(2)

Since, Electric Field = [Force × Charge-1] . . . (3)

The Dimensional Formula of,

• Force = m × a = [M1 L1 T-2] ------------------------(4)

• Charge = current × time = [I1 T1] --------------------(5)

substitute equation (4) and (5) in to equation (3) the result obtained is ,

Electric Field = [M1 L1 T-2] × [I1 T1]-1

Therefore, The dimensional formula of Electric Field = [M1 L1 T-3 I-1] -------(6)

substitute equation (2) and (6) in equation (1) we observe,

⇒ Electric Flux = E × S × cos θ

Or, ΦE = [M1 L1 T-3 I-1] × [M0 LT0] = [M1 L3 T-3 I-1]

Thus, the electric flux is dimensionally shown as [M1 L3 T-3 I-1].