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1. How do you find the radiation fields due to an antenna of arbitrary length and arbitrary current distribution?
2. Discuss the evolution of the half-wave dipole from an open-circuited transmission line.
3. Justify the approximations involved in evaluating the integrals in the determination of the radiation fields due to the half-wave dipole.
4. What are the values of the radiation resistance and the directivity for a half-wave dipole?
5. What is an antenna array?
6. Justify the approximations involved in the determination of the resultant field of an array of two antennas.
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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