Dimensional Formula of Electric Flux
The dimensional formula of electric flux is given 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)
Where E = magnitude of the electric field and S = Surface Area
The dimensional formula of area (S) = [M0 L2 T0] . . . . (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)
On substituting equation (4) and (5) in equation (3) we get,
Electric Field = [M1 L1 T-2] × [I1 T1]-1
∴ The dimensional formula of Electric Field = [M1 L1 T-3 I-1] . . . . (6)
On substituting equation (2) and (6) in equation (1) we get,
⇒ Electric Flux = E × S × cos θ
Or, ΦE = [M1 L1 T-3 I-1] × [M0 L2 T0] = [M1 L3 T-3 I-1]
Therefore, the electric flux is dimensionally represented as [M1 L3 T-3 I-1].
Electric Flux
⇒ Check Other Dimensional Formulas:
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