High School

An electromagnetic wave has an electric field with an rms value of 176.8 N/C. What is the intensity of the wave?

A. 120 W/m²
B. 66.9 W/m²
C. 41.5 W/m²
D. 775 W/m²
E. 83.0 W/m²

Answer :

The intensity of an electromagnetic wave is the average power transmitted per unit area perpendicular to the direction of wave propagation. The intensity of the electromagnetic wave is 83.0 W/m².

The intensity of an electromagnetic wave is the average power transmitted per unit area perpendicular to the direction of wave propagation. It can be calculated using the formula:

Intensity (I) = (1/2) * ε₀ * c * E²

where ε₀ is the vacuum permittivity (8.854 × 10⁻¹² C²/Nm²), c is the speed of light in a vacuum (3.0 × 10⁸ m/s), and E is the magnitude of the electric field.

Electric field magnitude (E) = 176.8 N/C

Substituting the values into the formula, we have:

Intensity (I) = (1/2) * (8.854 × 10⁻¹² C²/Nm²) * (3.0 × 10⁸ m/s) * (176.8 N/C)²

Simplifying the expression, we find:

Intensity (I) = 83.0 W/m²

Therefore, the intensity of the electromagnetic wave is 83.0 W/m².



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