How Do You Calculate E-Field and B-Field of a 10W Laser?

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Homework Help Overview

The discussion revolves around calculating the average electric field (E-field) and magnetic field (B-field) produced by a 10W laser with a specified radius. The subject area includes concepts from electromagnetism and wave physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between intensity, power, and the E and B fields of an electromagnetic wave. There are attempts to derive formulas related to intensity and power density, as well as questions about how to connect these concepts to the E and B fields.

Discussion Status

Some participants have provided insights into calculating intensity and power density, suggesting that these are intermediate steps toward finding the E and B fields. There is an ongoing exploration of the necessary formulas and relationships, but no consensus has been reached on the final approach.

Contextual Notes

Participants note the limited information provided in the problem and the implications of the question being worth only one mark, which may suggest a straightforward calculation. There is also mention of needing to use specific formulas to relate intensity to the E and B fields.

mrmonkah
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1.Calculate the average E-Field and B-field produced by a laser with power 10W and radius 1mm
2.Not sure where to start with this one. Use equations of Flux perhaps?
3. So given the modest amount of infomation and the fact the question represents 1 mark, i assume the calculation is straight forward. I just don't know how to approach the question. Any help to get me started would be greatly appreciated.
 
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Do you know what is the physical quantity intensity and how it is related to the E and B fields of an electromagnetic wave?
 
With regards to intensity:

Power = [tex]\int[/tex] Intensity dA

|Intensity| = Power / [tex]\pi[/tex] r[tex]^{2}[/tex] : As per Area of beam.

Not sure how to relate to the Electric and Magnetic Fields.
 
This just means you are able to calculate the intensity of the beam, given the data from the problem. It is an intermediate result. You need to use a specific formula that relates the intensity of an electromagnetic wave to the intensity of E and B in order to proceed further.
 
okay, i think i have the solution now,

find power density, (power/surface area),

Also Power Density = Mag of poynting Vector

That is 'Power Density = [tex]\frac{E^{2}}{c\mu_{0}}[/tex]

Re-arranging for <E> for E-field.

To find B-Field, use <B> = (1/c)<E>
 

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