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Antenna and Wave Propagation Assignment I1. Derive the field components and calculate its radiation resistance of half wave dipole antenna.2. Derive the relation between effective aperture, directivity and gain.3. Explain loop antenna with a sketch and calculate its radiation resistance.4. Design the radiation pattern of a two element array separated by λ/2 distance of equal amplitude and are opposite in phase.5. Design a four element, end fire array separated by a λ/2 distance and plot its radiation pattern (field pattern).