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26/01/2022 1:07 pm
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The electric field in an electromagnetic wave is given by E = (50 NC-1) sinω (t–x/c)
The energy contained in a cylinder of volume V is 5.5 × 10-12 J. The value of V is __________cm3.
(given ∈0 = 8.8 x 10-12C2N-1m-2)s-1
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26/01/2022 1:16 pm
E = 50 sin \(\Big(ωt - \frac{ω}{c}.x\Big)\)
Energy density = \(\frac{1}{2}∈_0E_0^2\)
Energy for volume V = \(\frac{1}{2}∈_0E_0^2.V\)
= 5.5 × 10-12
\(\frac{1}{2}\)8.8 x 10-12 x 2500V = 5.5 × 10-12
V = \(\frac{5.5 \times 2}{2500 \times 8.8}\) = .005 m3
= .005 x 106 cm3
= 500 cm3