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04-BS-9: December 2019

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

  1. Question 1 Electric Field and Force from Two Point Charges
  2. Question 2 Charge Distribution and Field of a Charged Conducting Spherical Shell
  3. Question 3 Magnetic Field of a Cylindrical Current-Carrying Pipe
  4. Question 4 Magnetic Field and Force Near a Finite-Width Current Sheet
  5. Question 5 EMF Induced in a Rotating and in a Stationary Rectangular Loop
  6. Question 6 Capacitance, Charge, Energy and Force of a Silicon-Filled Parallel-Plate Capacitor
  7. Question 7 Magnetomotive Force, Flux and Inductances of a Gapped Two-Winding Magnetic Core

Start with Question 1 →

National Exams — December 2019 — 04-BS-9 Basic Electromagnetics. Three-hour, closed-book exam (approved Casio/Sharp calculator only, one two-sided aid sheet permitted). Constants given: $\varepsilon_0=8.854\times10^{-12}$ F/m, $\mu_0=4\pi\times10^{-7}$ H/m, $e=1.602\times10^{-19}$ C. Format: seven questions offered; any five constitute a complete paper and only the first five appearing in the answer book are marked. All seven are solved below for completeness.

Reference texts: Sadiku, Elements of Electromagnetics / Hayt & Buck, Engineering Electromagnetics — Coulomb's law and superposition of point charges, Gauss's law and conductors in electrostatic equilibrium, Ampère's law for cylindrical and sheet current distributions, the force between parallel currents, Faraday's law (rotational and transformer EMF), parallel-plate capacitance and the force between charged plates, and magnetic-circuit (reluctance) analysis of a gapped core.