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An electromagnetic wave passes through space and its equation is given by E = E0 sin(ω - kx) where E is electric field. Energy density of electromagnetic wave in space is ______. -

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Question

An electromagnetic wave passes through space and its equation is given by E = E0 sin(ω - kx) where E is electric field. Energy density of electromagnetic wave in space is ______.

Options

  • `1/2epsilon_0"E"_0^2`

  • `1/4epsilon_0"E"_0^2`

  • `epsilon_0"E"_0^2`

  • `2epsilon_0"E"_0^2`

MCQ
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Solution

An electromagnetic wave passes through space and its equation is given by E = E0 sin(ω - kx) where E is electric field. Energy density of electromagnetic wave in space is `underlinebb(1/2epsilon_0"E"_0^2)`.

Explanation:

Energy density (EM waves)

= `epsilon_0"E"_"rms"^2`

= `epsilon_0("E"_0/sqrt2)^2`

= `1/2epsilon_0"E"_0^2`

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Energy Density of a Magnetic Field
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