Answer:
a. Wave 2 has the greater intensity. b. Intensity for wave 1, I₁ = 3.59 × 10⁻⁸ W/m². Intensity for wave 2, I₂ = 268.6 W/m²
Step-by-step explanation:
Here is the complete question
Electromagnetic wave 1 has a maximum electric field of E₀ = 52 V/m, and electromagnetic wave 2 has a maximum magnetic field of B₀ = 1.5 µT.
(a) Which wave has the greater intensity?
wave 1 OR wave 2 ?
(b) Calculate the intensity of each wave.
__________? W/m² (wave 1)
__________? W/m² (wave 2)
Solution
a. E₀ = 52 V/m for wave 1, B₀ = E₀/c = 52 V/m ÷ 3 × 10⁸ m/s = 1.73 × 10⁻⁹ T = 0.00173 μT.
Since for wave 1, B₀ = 0.00173 μT and for wave 2, B₀ = 1.5 µT and Intensity is proportional to B₀², so, wave 2 has the greater intensity.
b. Intensity for wave 1, I₁ = ¹/₂cε₀E₀² = ¹/₂ × 3 × 10⁸ × 8.854 × 10⁻¹² × 52² = 3.59 × 10⁻⁸ W/m²
Intensity for wave 2, I₂ = ¹/₂cB₀²/μ₀ = ¹/₂ × 3 × 10⁸ × (1.5 × 10⁻⁶)² ÷ (4π × 10⁻⁷) = 268.6 W/m²