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6. A communications engineer is designing a system to transfer data using a microwave beam from one city building to another city building 10 km away. (a) Define the Poynting vector of an electromagnetic wave and explain its meaning. (3 marks) (b) Use the Poynting vector to find the electric field amplitude of the microwave beam at the receiving site, if the average microwave power crossing unit area at the re- ceiver is 10 mWm-2. (4 marks) (c) Find the electric field amplitude at another building 20 km away from the transmit- ting dish, giving your reasoning. (3 marks)

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