Question: A certain microwave oven contains a magnetron that has an output of 700 W of microwave power for an electrical input power of 1.40 kW.

A certain microwave oven contains a magnetron that has an output of 700 W of microwave power for an electrical input power of 1.40 kW. The microwaves are entirely transferred from the magnetron into the oven chamber through a waveguide, which is a metal tube of rectangular cross section with width 6.83 cm and height 3.81 cm.
(a) What is the efficiency of the magnetron?
(b) Assuming that the food is absorbing all the microwaves produced by the magnetron and that no energy is reflected back into the waveguide, find the direction and magnitude of the Poynting vector, averaged over time, in the waveguide near the entrance to the oven chamber.
(c) What is the maximum electric field at this point?

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