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1 2. [20 pts] (a) [10 pts] Find both TM and TE fields (with all components) within a hollow cube made of perfect conductors whose

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2. [20 pts] (a) [10 pts] Find both TM and TE fields (with all components) within a hollow cube made of perfect conductors whose inner size is "a". (b) [10 pts] What are the resonant frequencies corresponding to these TM and TE modes. What is the lowest mode? Discuss degenerate modes if they exist

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