part a High power lasers in factories are used to cut through cloth and metal. O

Question

part a
High power lasers in factories are used to cut through cloth and metal. One such laser has a beam diameter of 0.725 mm and generates an electric field at the target having an amplitude 0.429 MV/m. The speed of light is 2.99792 × 108 m/s the permeability of free space is 4 × 107 T· N/A. What is the amplitude of the magnetic field produced? Answer in units of T.
part b
What is the intensity of the laser? Answer in units of W/m2.
part c
What is the power dissipated?
part a
High power lasers in factories are used to cut through cloth and metal. One such laser has a beam diameter of 0.725 mm and generates an electric field at the target having an amplitude 0.429 MV/m. The speed of light is 2.99792 × 108 m/s the permeability of free space is 4 × 107 T· N/A. What is the amplitude of the magnetic field produced? Answer in units of T.
part b
What is the intensity of the laser? Answer in units of W/m2.
part c
What is the power dissipated? What is the intensity of the laser? Answer in units of W/m2.
part c
What is the power dissipated? What is the power dissipated?

Explanation / Answer

(a) amplitude of B field = E / c = 429000 / 3.00 x 108=   0.00143 T . (b) intensity = E2 / 2c = 4290002 / 240   =   2.441 x108 W/m2 . (c) power = intensity * area = 2.441 x108 * * (0.000725 /2)2   =     100.8 watts . (c) power = intensity * area = 2.441 x108 * * (0.000725 /2)2   =     100.8 watts

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