Dimension of Electric Energy Density – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Dimension of Electric Energy Density

The dimension of \(\frac{1}{2}\epsilon_0 E^2\), where \(\epsilon_0\) is permittivity of free space and \(E\) is electric field, is:

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\(MLT^{-1}\)
\(ML^2T^{-2}\)
\(ML^{-1}T^{-2}\)
\(ML^{-1}T^{-2}\)

Solution:

The expression \(\frac{1}{2}\epsilon_0 E^2\) represents electric energy density, which is Energy per unit Volume. \([\text{Energy density}] = [\text{Energy}]/[\text{Volume}] = (ML^2T^{-2})/L^3 = ML^{-1}T^{-2}\).

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