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04-BS-9: May 2017

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

  1. Question 1 Field Jump Across a Charged Surface Layer Covering a Uniformly Charged Sphere
  2. Question 2 Magnetic Field Between Three Coaxial Current-Carrying Cylinders
  3. Question 3 On-Axis Field of a Clockwise Current Loop
  4. Question 4 RMS EMF of a Coil Rotating About a Vertical Diameter in a Tilted Field
  5. Question 5 Minimum Plate Area for a Dielectric-Filled Capacitor at the Breakdown Limit
  6. Question 6 Mutual Inductance of Two Coaxial Solenoids
  7. Question 7 Charge Density Distribution That Produces a Given Quadratic Field Inside a Slab
  8. Question 8 Apparent vs. Actual Location of an Underwater Mirror Viewed Obliquely

Start with Question 1 →

National Exams — May 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 — Gauss's law and spherical surface-layer charge distributions, Ampère's law for coaxial current sheets, Biot–Savart on-axis loop fields, Faraday's law and rotating-coil EMF, capacitance with a dielectric and breakdown field, 1-D charge density from a given field profile; Young & Freedman, University Physics with Modern Physics — Snell's law and apparent position of a submerged object viewed obliquely.