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04-BS-9: December 2014

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 H Field at the Centre of a Bent Semicircular Loop
  2. Question 2 Field Inside a Point Charge Surrounded by a Uniform Charge Sphere
  3. Question 3 Capacitance of a Coaxial Transmission Line
  4. Question 4 Mutual Inductance of Two Concentric Loops at an Angle
  5. Question 5 RMS EMF of a Loop Rotating About a Tilted Horizontal Diameter
  6. Question 6 H Field Amplitude of a Plane EM Wave
  7. Question 7 Self-Energy of a Uniformly Charged Spherical Surface
  8. Question 8 Time-Average Torque on a Synchronously Rotating AC Loop

Start with Question 1 →

National Exams — December 2014 — 04-BS-9 Basic Electromagnetics. Three-hour, closed-book exam (approved Casio/Sharp calculator only). Aids given: $\epsilon_0=8.85\times10^{-12}$ F/m, $\mu_0=4\pi\times10^{-7}$ H/m, $e=1.6\times10^{-19}$ C. Format: eight questions offered; any five constitute a complete paper and only the first five appearing in the answer book are marked. All eight are solved below for completeness.

Reference texts: Sadiku, Elements of Electromagnetics / Hayt & Buck, Engineering Electromagnetics — electrostatics, Gauss's law, capacitance, magnetostatics, Faraday's law, plane waves; Young & Freedman, University Physics with Modern Physics — induced EMF, AC quantities, torque on a current loop.