First slide

Average energy density of electromagnetic wave

Question

The dimension of (1/2) $ε_{0} E^{2} (ε_{0} :$ permittivity of free space; E: electric field) is

Easy

A

[MLT^-1]
B

[ML²T²]
C

[ML^-1T^-2]
D

[ML²T^-2]

Solution

$Energy density = \frac{Energy}{Volume}, so its dimensions are \frac{[{ML}^{2} T^{- 2}]}{[L^{3}]} = [{ML}^{- 1} T^{- 2}]$

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