What Is the Maximum Electric Field from a 100W Light Bulb at 1 Meter?

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SUMMARY

The maximum electric field E at 1 meter from a 100W light bulb can be calculated using the intensity equation I=(1/2)(8.85x10^-12)(c)E^2. The intensity I is determined by the power output divided by the surface area of a sphere with a radius of 1 meter, which is 4π(1^2) m². Therefore, the correct approach involves calculating the intensity first and then solving for E, ensuring that the area is accounted for in the calculations.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the concept of intensity in physics
  • Knowledge of the speed of light (c = 3 x 10^8 m/s)
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the intensity of a 100W light bulb at 1 meter using the formula I = P/A
  • Learn how to derive the electric field from intensity using E = sqrt(2I/(8.85 x 10^-12 c))
  • Explore the relationship between power, intensity, and electric fields in electromagnetic waves
  • Review the principles of spherical radiation patterns in physics
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the relationship between electric fields and light intensity.

sgoeke
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Homework Statement


What is the maximum value of the electric field E at 1.0 m from a 100 W light bulb radiating in all directions?


Homework Equations


I feel like I should use this equation: I=(1/2)(8.85x10^-12)(c)E^2


The Attempt at a Solution


When I used that equation, I didn't get the right answer. But I guess I'm confused since intensity is W/m^2 and we're not given the unit area.
 
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sgoeke said:

Homework Statement


What is the maximum value of the electric field E at 1.0 m from a 100 W light bulb radiating in all directions?


Homework Equations


I feel like I should use this equation: I=(1/2)(8.85x10^-12)(c)E^2


The Attempt at a Solution


When I used that equation, I didn't get the right answer. But I guess I'm confused since intensity is W/m^2 and we're not given the unit area.

You have 100W of light going through the surface area of a sphere that has a radius of 1 meter...
 

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