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04-BS-9: May 2018

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

  1. Question 1 Field Discontinuity Across a Sphere's Thin Surface-Charge Layer
  2. Question 2 Total Electrostatic Energy of a Charge Triangle with Protons at the Centroid
  3. Question 3 Magnetic Flux Density at the Surface of an Accelerated Electron Beam
  4. Question 4 Magnetic Flux Density at the Midpoint and at the Jumper Centres of a Long Rectangular Current Loop
  5. Question 5 Current Density Producing a Triangular H(x) Profile
  6. Question 6 EMF Induced in a Square Loop Crossing a Finite-Width Vertical Field Region
  7. Question 7 Maximum Stored Energy in a Parallel-Plate Capacitor with a Partial Dielectric Layer
  8. Question 8 Horizontal Offset Between the Apparent and Real Position of an Insect Seen From Underwater

Start with Question 1 →

National Exams — May 2018 — 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 Gauss's law for spherical and piecewise charge distributions, the Biot–Savart/Ampère law for finite, semi-infinite and arc-shaped conductors, Faraday's law for a loop crossing a spatially bounded field, the differential (point) form of Ampère's law, and series-layered parallel-plate capacitance; Young & Freedman, University Physics with Modern Physics — Snell's law and the geometry of apparent vs. real position across a refracting interface.