Max Power of 1.3cm Diameter Laser Beam Propagating Air

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Linus Pauling
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1. The maximum electric field strength in air is 3.0 MV/m. Stronger electric fields ionize the air and create a spark. What is the maximum power that can be delivered by a 1.3 cm diameter laser beam propagating through air?



2. I = P/A = c*epsilon0*E2/2



3. Using E = 3*106 for E, I use the above equation to solve for I, obtaining 1.19*1010. Multiplying by area, using pi*r2 and r = 0.013m, I obtain 6.34*106, which is incorrect.
 
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the diameter is 1.3cm so the radius is only .0065m