Question

How much energy is stored in one cubic meter of air due to the fair weather electric field of magnitude 150 V/m?

Answer 1

\[W=\frac{1}{2}\times\varepsilon\times E^2\times V\]
\[\varepsilon=1~F/m\]\[E=150~V/m\]\[V=1~m^3\]
Replace it
\[W=\frac{1}{2}\times1\times 150^2\times 1\]
\[\boxed{\boxed{W=11250~J}}\]

Answer 2

Vacuum permittivity is about \(8.85\times10^{-12}\) F/m (not 1 F/m).

Answer 3

Sorry about my wrong value
\[\varepsilon=8.85\times10^{-12}~F/m\]
\[W=\frac{1}{2}*8.85\times10^{-12}*150^2*1\]
\[\boxed{\boxed{W\approx9.96\times10^{-8}}}\]