Energy density of electric field

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SUMMARY

The discussion centers on calculating the electric field (E-field) magnitude produced by a 40W light bulb, where 10% of the energy is radiated as light, resulting in 4W. The relevant equation for energy density is given as Energy density = 1/2ε₀E². The intensity (I) of the light at a distance of 1m is derived from the isotropic radiation of power, leading to the formula I = 1/π W/m². Additionally, the intensity of sunlight at the Earth's surface is noted to be approximately 1400W/m².

PREREQUISITES
  • Understanding of electromagnetic theory, specifically electric fields
  • Familiarity with the concept of energy density in electromagnetic fields
  • Knowledge of intensity calculations in physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the energy density formula in electromagnetic fields
  • Learn about the relationship between intensity and electric field strength
  • Explore the concept of isotropic radiation in physics
  • Investigate the properties of sunlight and its intensity variations on Earth
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Students in physics, electrical engineers, and anyone interested in understanding the principles of electric fields and energy density in electromagnetic radiation.

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Homework Statement



Assume that 10% of the energy dissipated by a 40W light bulb is radiated isotropically in the form of light. What is the magnitude of he E-field at a distance of 1m? What is it for sun light on the Earth's surface, given the Sun provides ~ 1400W/m2>

Homework Equations



Energy density = 1/2[tex]\epsilon[/tex][tex]_{}0[/tex]E[tex]^{}2[/tex]

The Attempt at a Solution



Ok so I know that we have 4W available, but how do I convert this into and energy per unit area on the surface or volume? I assume we have to use the equation for the energy denstiy of a magnetic field given above.
 
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If it spreads out isotropically in all directions, then the power [4 W] is uniform at any point on the sphere of the radius, and can be given by:

[tex] I = \frac{1}{\pi}~Wm^{-2}[/tex]

You have the same thing i.e. Intensity for the 'sun' question. Now, Intensity is simply:

[tex] I = \frac{Energy \times velocity}{Volume}[/tex]

so.. i guess I've given u enough hint now.. [at what velocity does e.m energy travel?]
 
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