An air-filled rectangular cavity with brass walls—ϵ0, μ0, σ = 1.57 × 107 (S/m)—has the following dimensions: a = 4 (cm), b = 3 (cm), and d = 5 (cm).
a) Determine the dominant mode and its resonant frequency for this cavity.
b) Find the Q and the time-average stored electric and magnetic energies at the resonant frequency, assuming H0 to be 0.1 (A/m).
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