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04-BS-9: December 2017

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

  1. Question 1 Electric Field on an Electron in a Triangle of Electrons with Protons at the Centre
  2. Question 2 Electric Field at the Surface of a Uniformly Charged Electron Beam
  3. Question 3 Maximum Stored Energy in a Coaxial Line at the Dielectric Breakdown Limit
  4. Question 4 Force Between Two Antiparallel Current-Carrying Wires
  5. Question 5 EMF Induced in a Moving Loop Crossing a Spatially Varying Field
  6. Question 6 On-Axis Field of a Clockwise Current Loop, 1 m Above the Centre
  7. Question 7 Charge Distribution Producing a Linear-in- r Field That Vanishes Outside a Sphere
  8. Question 8 Time Interval Between a Directly Reflected and a Refracted-and-Reflected Light Beam

Start with Question 1 →

National Exams — December 2017 — 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 for discrete point charges, Gauss's law for cylindrical charge distributions and coaxial capacitors, the Biot–Savart/Ampère force between parallel currents, Biot–Savart on-axis loop fields, Faraday's law for a moving loop in a spatially varying field, and the point (differential) form of Gauss's law for recovering a charge distribution from a given field; Young & Freedman, University Physics with Modern Physics — Snell's law and refracted-ray time-of-flight geometry.