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04-BS-9: December 2016

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

  1. Question 1 Field Inside a Point Charge Embedded in a Uniformly Charged Sphere
  2. Question 2 Electric Potential Above a Charged Equilateral Triangle
  3. Question 3 Minimum Plate Area for a Capacitor at the Air Breakdown Limit
  4. Question 4 Magnetic Flux Density of a Finite-Radius Straight Conductor
  5. Question 5 On-Axis Field of an Atomic-Scale Current Loop
  6. Question 6 Motional EMF of a Rod Moving Through a Tilted Magnetic Field
  7. Question 7 Electric Field on the Equatorial Plane of a Dipole Potential
  8. Question 8 Tilt Angle of a Ground Mirror Reflecting Light Between Two Towers

Start with Question 1 →

National Exams — December 2016 — 04-BS-9 Basic Electromagnetics. Three-hour, closed-book exam (approved Casio/Sharp calculator only). Aids given: $\varepsilon_0=8.85\times10^{-12}$ 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 — Coulomb's law and superposition, Gauss's law (integral and point form), Biot–Savart law and the field of straight conductors and current loops, Faraday's law and motional EMF, dipole fields, capacitance and dielectric breakdown; Young & Freedman, University Physics with Modern Physics — reflection geometry.