Question

Find the intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10^(-9)T.

a) 5.00×10^(-18) W/m^2
b) 1.00×10^(-17) W/m^2
c) 2.00×10^(-17) W/m^2
d) 4.00×10^(-17) W/m^2

Answer 1

The intensity of an electromagnetic wave with a peak magnetic field strength of 4.00×10^(-9)T is approximately 5.00×10^(-18) W/m^2.

Step-by-step explanation:

To find the intensity of an electromagnetic wave, we need to use the formula:

Intensity = (Peak Magnetic Field Strength)^2 / (2 * Permeability of Free Space)

Given that the peak magnetic field strength is 4.00×10^(-9) T, and the permeability of free space is 4π × 10^(-7) T·m/A, substituting these values into the formula, we get:

Intensity = (4.00×10^(-9))^2 / (2 * 4π × 10^(-7))

Simplifying the equation gives:

Intensity ≈ 5.00×10^(-18) W/m^2 (a)

Therefore, option (a) is the correct answer.