The rate of energy flow per unit area of a sinusoidal electromagnetic wave has an average value of 0.601 W/m².What is the maximum value of the $\vec { B }$ field in the wave? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²) A)7.09 × 10^-8_T B)5.02 × 10^-8_T C)3.55 × 10^-8_T D)9.81 × 10^-8_T E)1.42 × 10^-7_T

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Quizplus · Accepted Answer

The average intensity $ I $ of an electromagnetic wave is given by $ I = \frac{1}{2} c \epsilon_0 E_0^2 $. Solving for $ E_0 $, we find $ E_0 = \sqrt{\frac{2I}{c \epsilon_0}} $. The maximum magnetic field $ B_0 $ is related to the electric field by $ B_0 = \frac{E_0}{c} $. Substituting the given values, we find $ B_0 = 7.09 \times 10^{-8} $ T.

The Rate of Energy Flow Per Unit Area of a Sinusoidal