Electromagnetism - Conductor

A conducting cavity is driven as an electromagnetic resonator. If perfect conductivity is assumed, the transverse and normal field components must obey which of the following conditions at the inner cavity walls?

A. En = 0, Bn = 0
B. En = 0, Bt = 0
C. Et = 0, Bt = 0
D. Et = 0, Bn = 0
E. None of the above
(GR9277 #34)
Solution:

Boundary Condition on the surface of perfect conductor:
  • Etangential = 0
  • Enormal ≠ 0 → (A) and (B) FALSE
  • Btangential ≠ 0 → (C) FALSE
  • Bnormal = 0
Answer: D

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