MIT6_013S09_pset10

MIT6_013S09_pset10 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 – Electromagnetics and Applications Problem Set 10 (four problems) Suggested Reading: Course notes, Sections 10.1-2; 10.4.1, 10.4.3; 11.2.1-11.2.3 Problem 10.1 An N-turn 10-cm diameter wire coil is excited with I = 1 ampere at 100 kHz, as illustrated. (a) What far-field radiation H is observed on the coil axis at distance D? I x z y - r = D + (b) What is the near-field value of H at D? Hint: use the Biot-Savart formula. (c) What is the maximum open-circuit voltage V max induced in a duplicate on-axis coil at D? (Quasi-static question.) (d) The receiving coil, when shunted by a capacitor C, resonates at 100 kHz. For the ideal case of perfectly conducting devices, discuss briefly the physical phenomenon that limits the maximum voltage V(t) that can appear across this resonating coil. (e) Assume the LC resonator of part (d) now has a small resistance R in series with the coil, where R has been adjusted to extract and dissipate the maximum possible
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MIT6_013S09_pset10 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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