The dimension of 12ϵoE2 permittivity of free space and E: Intensity of electric field) is
[ML2T−1]
[ML−1T−2]
[ML2T−2]
[MLT−1]
A
[MLT−1]
B
[ML2T−1]
C
[ML−1T−2]
D
[ML2T−2]
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Solution
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Energy density of an electric field E is ,
μE=12ϵ0E2
where ϵ0 is permitivity of free space
μE=EnergyVolume=[ML2T−2][L3]=[ML−1T−2]
Hence, the dimension of 12ϵ0E2 is [ML−1T−2]
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