In order to obtain the resonant frequency of a rectangular waveguide, the closed cavity has to satisfy:

In order to obtain the resonant frequency of a rectangular waveguide, the closed cavity has to satisfy: Correct Answer Helmholtz equation

Helmholtz wave equation is considered and solved using variable separable form. Then the boundary conditions are applied to the wave equation considering the walls of the cavity. Solving this gives the expression for resonant frequency.

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The cut off frequency of a waveguide with resonant cavity is given by