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1. What is the polarization mismatch factor for two linearly polarized antennas whose polarization vectors are mismatched by an angle of 35°?
2. Show how two linearly polarized antennas and a phase shifter can be arranged to receive an incoming wave with circular polarization without signal attenuation due to polarization mismatch.
3. A 100 Watt transmitter feeds an antenna with a gain of 50 dBi. Calculate the maximum power that could be received at a geosynchronous satellite at an altitude of 36,000 km whose antenna has a gain of 30 dB. The wavelength is 1 cm, and the polarization mismatch factor is -3 dB
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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