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04-BS-9: Undated paper

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

  1. Question 1 Two Point Charges — Field, Cancelling Charge, Force and Work
  2. Question 2 Point Charges Enclosed by a Charged Conducting Shell
  3. Question 3 Magnetic Field of a Solid Cylindrical Conductor
  4. Question 4 Right-Angle Bent Conductor — Field and Self-Force
  5. Question 5 EMF Induced in a Rectangular Loop — Rotational and Transformer Cases
  6. Question 6 Parallel-Plate Capacitor and a Levitated Charged Sphere
  7. Question 7 Magnetic Circuit — Gapped Core with Two Windings

Start with Question 1 →

National Exams 04-BS-9 Basic Electromagnetics. Three-hour, closed-book exam (approved Casio/Sharp calculator only). 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 bent-wire current distributions, the force between currents, Faraday's law (rotational and transformer EMF), parallel-plate capacitance and the force on a levitated charge, and magnetic-circuit (reluctance) analysis of a gapped core.