The dimension of ( : permittivity of free space, E : electric field) [2000]

Question

The dimension of $(\frac{1}{2}) ε_{0} E^{2}$ ( $ε_{0}$ : permittivity of free space, E : electric field) [2000]

Smart Achievers · Accepted Answer

(3)

Here $(\frac{1}{2}) ε_{0} E^{2}$ represents energy density, i.e., energy per unit volume.

$∴$ $[\frac{1}{2} ε_{0} E^{2}] = \frac{[Energy]}{[Volume]} = \frac{M L^{2} T^{- 2}}{L^{3}} = [M L^{- 1} T^{- 2}]$

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