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Consider a TE mode in a rectangular wave guide with a-2b (refer to figure in problem 1).Analyze the following statements • The electric field of the TE10 mode has only component • The H field of the TE10 mode is always perpendicular to the electric field E In all TE modes the electric field is always parallel to one of the wavegulde walls in any arbitrary cross section Select] In all TE modes the electric field is zero in the reglon very close to the waveguidewalls • For any arbitrary cross section in the wave guide, the electric field of the TE20 mode is always orlented exclusively in the positive direction or in the negative direction • The Index "m" in the TEmn modes indicates


1A heating element in an electric heater consists of a coil of wire.The heating element transfers a power of 1.00 kW when connected directly to a mains supply of 230 V. Show that the resistance of the element is approximately 53 2. The element is made from wire that has a radius of 0.137 mm and a resistivity of 4.9 × 1072 m. Calculate the length of wire needed for the element. The electric heater contains two elements, each of resistance 53 ohms There is also a 230 V lamp to show when the heater is working. The power transferred by the lamp is negligible. The resistivity of the wire does not vary with temperature. Draw circuit diagrams to show how the components can be connected to transfer: • the maximum possible power using both elements• the minimum possible power using both elements.State, for each circuit, the total power transferred by the heater.


State and explain one piece of evidence that shows that energy levels in atoms are discrete.


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