Calculate the energy density in an electric field of 106 V/m
Given,
E=106V/mE = 10^6V/mE=106V/m
We know that,
ϵ0=8.85×10−12\epsilon_0 = 8.85 \times 10^{-12}ϵ0=8.85×10−12
The energy density formula of the capacitor is given by:
U=12ϵ0E2U = \dfrac{1}{2}\epsilon_0E^2U=21ϵ0E2
U=12(8.85×10−12×1012)U = \dfrac{1}{2}(8.85 \times 10^{-12} \times 10^{12})U=21(8.85×10−12×1012)
U=4.425U = 4.425U=4.425
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