Amplitude of a magnetic field of an electromagnetic wave

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SUMMARY

The discussion focuses on calculating the amplitude of the magnetic field of an electromagnetic wave with an intensity of 80 MW/m². The relevant constants include the speed of light (c = 3.0 x 10⁸ m/s), permeability of free space (μ₀ = 4π × 10⁻⁷ T ∙ m/A), and permittivity of free space (ε₀ = 8.85 × 10⁻¹² C²/N ∙ m²). The initial calculation attempted to use the formula E₀ = √(2N(√(μ₀/ε₀)), but the user expressed uncertainty about relating electrical amplitude to magnetic amplitude. Accurate calculations require a clear understanding of the relationship between electric and magnetic fields in electromagnetic waves.

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  • Understanding of electromagnetic wave theory
  • Familiarity with the constants μ₀ and ε₀
  • Knowledge of the relationship between electric and magnetic fields in waves
  • Proficiency in using formulas for wave intensity and amplitude
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  • Study the relationship between electric field amplitude (E₀) and magnetic field amplitude (B₀) in electromagnetic waves
  • Learn how to derive the amplitude of the magnetic field from wave intensity using the formula B₀ = E₀/c
  • Explore the implications of the speed of light in electromagnetic wave calculations
  • Review the derivation of the intensity of electromagnetic waves and its dependence on electric and magnetic field amplitudes
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swankymotor16
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If the intensity of an electromagnetic wave is 80 MW/m^2, what is the amplitude of the magnetic field of this wave? (c = 3.0 x 10^8 m/s, permeability of free space ''miu subzero''= 4π × 10^-7 T ∙ m/A, permittivity of free space ''E subzero'' = 8.85 × 10^-12 C^2/N ∙ m^2)

80MW/m^2= 80,000,000 W/m^2

(80x10^6)(4pi x10^-7)/ 8.85x10^-12 = 1.132x10^13 ?
 
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Your calculation is not correct. Why did you set it up that way? What equations have you learned that are relevant to this problem?
 
If I use E0 = √2N(√μ0/ε0) this whould be the value of Electrical amplitude, but I don't know how to relate this to the magnetic amplitude.Could anyone else give this a go?
 
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