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A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by [Given permittivity of space ∈0 = 9 × 10-12 SI units, Speed of light c = 3 × 108 m/s]:-
  • a)
    1 kV/m
  • b)
    2 kV/m
  • c)
    1.4 kV/m
  • d)
    0.7 kV/m
Correct answer is option 'C'. Can you explain this answer?
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A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude...
Intensity of EM wave is given by


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A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude...
The magnitude of the maximum electric field in an electromagnetic wave can be calculated using the formula:

E = sqrt(2P / (c * ε * A))

Where:
E = magnitude of the maximum electric field
P = power of the laser beam (in Watts)
c = speed of light in vacuum (approximately 3 x 10^8 m/s)
ε = permittivity of space (approximately 8.854 x 10^-12 F/m)
A = cross-sectional area of the laser beam (in m^2)

Plugging in the given values:
P = 27 mW = 27 x 10^-3 W
A = 10 mm^2 = 10 x 10^-6 m^2
ε = 8.854 x 10^-12 F/m

E = sqrt(2 * (27 x 10^-3) / (3 x 10^8 * 8.854 x 10^-12 * 10 x 10^-6))
E = sqrt(54 x 10^-3 / (26.562 x 10^-12))
E = sqrt(2.0354 x 10^9)
E ≈ 45,136.3 V/m

Therefore, the magnitude of the maximum electric field in this electromagnetic wave is approximately 45,136.3 V/m.
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A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by [Given permittivity of space∈0 = 9 × 10-12 SI units, Speed of lightc = 3 × 108 m/s]:-a)1 kV/mb)2 kV/mc)1.4 kV/md)0.7 kV/mCorrect answer is option 'C'. Can you explain this answer?
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