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For dry air at a temperature of 0°C and at 1 atm of pressure, electric breakdown occurs when the air is subjected to an electric field with amplitude above about 3.00 MV/m. A high-power laser is shone up into Earth's atmosphere, and the laser's associated electric field ionizes the air and turns it into a conducting plasma. Assume the conditions of the air are such that an electric field of 3.00 MV/m causes the air to ionize. (a) What will be the intensity (in W/m²) of a laser beam that can produce a field of this magnitude? 1.196e12 x Apply the equation for the intensity of a plane electromagnetic wave, written in terms of the maximum electric field, the permittivity of free space, and the speed of light. W/m² (b) Assuming the laser is operating at this maximum intensity, what is the power (in W) delivered in a cylindrical beam with a diameter of d = 4.15 mm? 1.62e7 X

For dry air at a temperature of 0°C and at 1 atm of pressure, electric breakdown occurs when the air is subjected to an electric field with amplitude above about 3.00 MV/m. A high-power laser is shone up into Earth's atmosphere, and the laser's associated electric field ionizes the air and turns it into a conducting plasma. Assume the conditions of the air are such that an electric field of 3.00 MV/m causes the air to ionize. (a) What will be the intensity (in W/m²) of a laser beam that can produce a field of this magnitude? 1.196e12 x Apply the equation for the intensity of a plane electromagnetic wave, written in terms of the maximum electric field, the permittivity of free space, and the speed of light. W/m² (b) Assuming the laser is operating at this maximum intensity, what is the power (in W) delivered in a cylindrical beam with a diameter of d = 4.15 mm? 1.62e7 X

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For dry air at a temperature of 0°C and at 1 atm of pressure, electric breakdown occurs when the air is subjected to an electric field with amplitude above about 3.00 MV/m. A high-power laser is shone up into Earth's atmosphere, and the laser's associated electric field ionizes the air and turns into a conducting plasma. Assume the conditions. of the air are such that an electric field of 3.00 MV/m causes the air to ionize. (a) What will be the intensity (in W/m2) of a laser beam that can produce a field of this magnitude? 1.196e12 X Apply the equation for the intensity of a plane electromagnetic wave, written in terms of the maximum electric field, the permittivity of free space, and the speed of light. W/m² (b) Assuming the laser is operating at this maximum intensity, what is the power (in W) delivered in a cylindrical beam with a diameter of d = 4.15 mm? 1.62e7 X Remember that the intensity is defined as power per unit area; solve this relationship for power. W
Transcribed Image Text:For dry air at a temperature of 0°C and at 1 atm of pressure, electric breakdown occurs when the air is subjected to an electric field with amplitude above about 3.00 MV/m. A high-power laser is shone up into Earth's atmosphere, and the laser's associated electric field ionizes the air and turns into a conducting plasma. Assume the conditions. of the air are such that an electric field of 3.00 MV/m causes the air to ionize. (a) What will be the intensity (in W/m2) of a laser beam that can produce a field of this magnitude? 1.196e12 X Apply the equation for the intensity of a plane electromagnetic wave, written in terms of the maximum electric field, the permittivity of free space, and the speed of light. W/m² (b) Assuming the laser is operating at this maximum intensity, what is the power (in W) delivered in a cylindrical beam with a diameter of d = 4.15 mm? 1.62e7 X Remember that the intensity is defined as power per unit area; solve this relationship for power. W
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