The rms value of the electric field in an electromagnetic wave is E_rms = 200 V/m. The intensity of this wave is approximately A) 53.1 W/m². B) 106 W/m². C) 1.59 × 10¹⁰ W/m². D) 3.18 × 10¹⁰W/m². E) 1.70 kW/m².

Question

Quizplus · Accepted Answer

The intensity of an electromagnetic wave is given by I = (1/2)ε₀cE_rms², where ε₀ is the permittivity of free space, c is the speed of light, and E_rms is the rms value of the electric field. Plugging in the given values, we get I = (1/2)(8.85 × 10^-12 F/m)(3 × 10⁸ m/s)(200 V/m)² ≈ 53.1 W/m².

The Rms Value of the Electric Field in an Electromagnetic