Question

Problem 5. A standing wave is established in a microwave cavity as shown in Fig. 3. The cavity consists of an air-filled rectangular metal box with side lengths a, b, and d, where d> a > b CO-ORDINAT IGIN Figure 3: A microwave cavity The electric field in the standing wave is given by Part A (a) Show that the electric feld satisies the wave equation Evided が, provided (b) Does the electric field satisfy the boundary conditions that apply to E at the metal surfaces? Explain. (c) Describe the field given by E, including how it varies in space and time throughout the cavity Part B (Advanced) Using Maxwell's equations and the given electric field, calculate an expression for the magnetic field in the cavity. Discuss the phase relationship between the electric and magnetic fields.

Answer 1

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