Question

Electromagnetic wave 1 has a maximum electric field of Eo= 52 v/m and electromagnetic wave 2 has a maximum magnetic field of Bo= 1.5. A) which wave has the greater intensity b) calculate the of each wave

Answer 1

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

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