Energy Carried by Electromagnetic Waves Video Lessons

Concept

# Problem: Lasers can be constructed that produce an extremely high-intensity electromagnetic wave for a brief time - called pulsed lasers. They are used to ignite nuclear fusion, for example. Such a laser may produce an electromagnetic wave with a maximum electric field strength of ' tabindex="0"&gt;1.00×1011 V/m for a time of 1.00 ns.(a) What is the maximum magnetic field strength in the wave?(b) What is the intensity of the beam?(c) What energy does it deliver on a ' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm' tabindex="0"&gt;1.00-mm

###### FREE Expert Solution

Maximum magnetic field:

$\overline{){{\mathbf{B}}}_{{\mathbf{0}}}{\mathbf{=}}\frac{{\mathbf{E}}_{\mathbf{0}}}{\mathbf{c}}}$

The intensity of the wave:

$\overline{){\mathbf{I}}{\mathbf{=}}\frac{\mathbf{c}{\mathbf{\epsilon }}_{\mathbf{0}}{{\mathbf{E}}_{\mathbf{0}}}^{\mathbf{2}}}{\mathbf{2}}}$

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###### Problem Details

Lasers can be constructed that produce an extremely high-intensity electromagnetic wave for a brief time - called pulsed lasers. They are used to ignite nuclear fusion, for example. Such a laser may produce an electromagnetic wave with a maximum electric field strength of ' tabindex="0">1.00×1011 V/m for a time of 1.00 ns.

(a) What is the maximum magnetic field strength in the wave?

(b) What is the intensity of the beam?

(c) What energy does it deliver on a ' tabindex="0">1.00-mm' tabindex="0">1.00-mm' tabindex="0">1.00-mm' tabindex="0">1.00-mm' tabindex="0">1.00-mm' tabindex="0">1.00-mm' tabindex="0">1.00-mm