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 1.4cm diameter laser beam propagating through air?answer is p=____W

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A laser beam that is traveling through air can deliver a maximum power of 1.84 x 106 W.

What is the beam's maximum power output?

The following formula is used to determine the maximum power that an air-propagating laser beam with a diameter of 1.4 cm can deliver:

P = ¹/₂ CεAE₀²

where;

A is the wire's surface area.

C is the permittivity of open space, and is the speed of light.

The largest electric field is E0.

A = πd² / 4

A = π ( 0.014² ) / 4

A = 1.54 x 10⁻⁴ m²

The following calculations are used to determine the laser beam's maximum power:

P is equal to half of (3 x 108 x 8.85 x 1012 x 1.54 x 104) x (3 x 106)2.

P = 1.84 x 10⁶ W

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The maximum power that can be delivered by the laser beam propagating through the air is 1.84 x 10⁶ W.

What is the beam's maximum power output?

The following formula is used to determine the maximum power that an air-propagating laser beam with a diameter of 1.4 cm can deliver:

P = ¹/₂ CεAE₀²

where;

         A is the area of the wire

         C is the speed of light        

         ε is the permittivity of free space

         E₀ is the maximum electric field

We know that,

                     A = πd² / 4

                     A = π ( 0.014² ) / 4

                     A = 1.54 x 10⁻⁴ m²

The maximum power that can be delivered by the laser beam is calculated as follows;

           P = ¹/₂ (3 x 10⁸ x 8.85 x 10⁻¹² x 1.54 x 10⁻⁴) x (3 x 10⁶)²

           P = 1.84 x 10⁶ W

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