1. Consider TE011 mode in a cubical cavity of side *a*. Write the expressions for the electric and magnetic fields and show that they are orthogonal.

1. Consider TE011 mode in a cubical cavity of side *a*. Write the expressions for the electric and magnetic fields and show that they are orthogonal.

2. For the above problem determine the total energy stored in the electric and magnetic fields.

3. A cubical cavity of side 3 cm has copper walls (conductivity S/m). Calculate the Q factor of the cavity for TE101 mode.

4. Consider a cylindrical cavity resonator. Show that the dominant frequency is TE mode of the resonator.