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Final_Exam_Spring2011

# Final_Exam_Spring2011 - Final Exam Graduate...

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Final Exam: Graduate Electromagnetics II, 95.658 Spring 2011, UMass Lowell, Dr. Baird Part I: Multiple Choice (45 Points) Circle the one best answer to each question. 1. At very high velocities, what role does a particle's rest mass play in its total energy? (a) its rest mass becomes negligible (b) its total energy is still directly proportional to its rest mass (c) its rest mass becomes zero (d) its rest mass is almost completely converted to radiant energy 2. Consider a perfect electric dipole that oscillates such that it emits electromagnetic radiation. In the radiation zone, what is the polarization of the electromagnetic waves emitted? 3. What is the best statement summarizing the effect on an object's length due to frame motion in Einstein's relativity? 4. In the process of deriving radiation expressions from Maxwell's equations, how do we solve the non- homogenous wave equation? (a) Place the sources inside a grounded spherical shell and apply boundary conditions (b) Assume that far away all sources look spherical and sum over spherical harmonics (c) Laplace transform the non-homogenous wave equation (d) Find and use the time-dependent free-space Green function

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