# Solved Problems-17

Problem-17
A cubical cavity resonator made of copper  is to be operated at 15 GHz. Find the dimensions of the cavity, its quality factor and the bandwidth if it is operated in the dominant mode.
Solution
The dominant mode in the resonant cavity is TE101 mode. For this mode, for a cubical cavity, the resonant frequency is given as,

This is given as 15 GHz.

Hence, the dimensions of the cavity are: 1.414 cm Ã— 1.414 cm Ã— 1.414 cm.

The quality factor for TE101 mode is given as,

For cubical resonator,

where, skin depth,

The bandwidth of the resonator is,