An electromagnetic wave with a peak magnetic field component of 1.5 x 10^-7 T carries what average power per unit area? (m₀ = 4p x 10^-7T*m/A,e₀ = 8.85 x 10^-12 C²/N*m² and c = 3.00 x 10⁸ m/s) A)12 W/m² B)2.7 W/m² C)3.0 W/m² D)1.3 W/m²

Question

Quizplus · Accepted Answer

The average power per unit area carried by an electromagnetic wave is given by the formula P_avg = (1/2)ε_0cE^2, where ε_0 is the permittivity of free space, c is the speed of light, and E is the peak electric field strength. Since we are given the peak magnetic field strength, we can use the relationship B = E/c to find E.

B = 1.5 x 10^-7 T
E = Bc = (1.5 x 10^-7 T)(3.00 x 10^8 m/s) = 4.5 x 10^-2 V/m

Substituting into the formula for P_avg, we get:

P_avg = (1/2)(8.85 x 10^-12 C^2/Nm^2)(4.5 x 10^-2 V/m)^2 = 3.0 W/m^2

Therefore, the correct answer is C) 3.0 W/m^2.

An Electromagnetic Wave with a Peak Magnetic Field Component of 1.5