Instructions

The name for this torture technique is active recall. Your brain does not like being required to work like this.

It is best to avoid notes or book or Internet or friend or enemy or even mere acquaintance for the first legitimate attempt at these activites. Wait until the next day before then seeking out additional review; your brain works better this way since it can sleep on it.

1. Cohere into a connected whole

Summarize the course’s content so far: Draw a concept map of the terminology, concepts, and connections.

Begin first on paper, brain dumping any words and ideas before you begin to arrange and group them.

2. Problem maker

Consider the list of § 2.1.

  • Use the random number generator tool to select a random learning objective.

  • Create a problem whose solution demonstrates meeting the objective. (Pay attention to the objective’s verb.)

    • Alternatively, show a situation where the objective’s concept shows up in a circuit / system / structure in real life.

  • Solve the problem. At minimum describe the method for finding a solution and set up the solving thereof. (e.g. some geometries are difficult to compute the integrals for, but are real situations in current technologies)

  • Do this for 12 unique objectives, beginning a fresh page each time.

2.1. Segment 2 Learning Objectives

Chapters 10 — 18

Current flow and power density

  1. Calculate the total current flowing through a surface given the current density.

  2. Calculate the resistance, current, electric field, and current density in a material knowing the material composition, geometry, and applied voltage.

  3. Calculate the power density and total power when given the current density and electric field.

Magnetic fields and fluxes from currents

  1. Use Ampere’s Law to calculate magnetic fields near symmetrical electric currents.

  2. Design a solenoid or toroidal solenoid to achieve a required magnetic flux density.

  3. Calculate the magnetic flux density near one or more current-carrying line segments or loops.

Magnetic forces

  1. Calculate the force on a charged particle moving at a uniform speed through a magnetic field.

  2. Calculate the gyroradius of a charged particle injected into a region of magnetic flux density.

  3. Calculate the force between two current-carrying conductors.

  4. Calculate the torque on a loop of current in a constant magnetic field.

Magnetic materials

  1. Given the magnetic field intensity, polarization, or magnetic flux density, calculate the other two for a particular material.

  2. Analyze a magnetic circuit to determine the magnetic flux or magnetic flux density at a particular point in the circuit.

Induction and inductance

  1. Calculate the self-inductance of a conductor.

  2. Calculate the mutual inductance of multiple conductors.

  3. Calculate the energy stored in an inductor.

  4. Use Faraday’s Law of Induction to determine the magnitude and direction of the current induced in a coil that is subject to a time-varying magnetic flux.

  5. Calculate the voltage induced across a rotating loop of wire.

  6. Analyze a transformer to determine the voltage and current seen at the secondary coil given the turns ratio and the voltage/current on the primary coil.

Displacement current

  1. Use the continuity equation to determine how long it will take a fraction of charge inside a conductor to move to the surface.

  2. Given the conduction current in a lossy dielectric, calculate the displacement current density.

  3. Given the geometry and voltage of a capacitor, calculate the displacement current.

  4. Determine whether a material is a conductor or an insulator at a given frequency and calculate the frequency where the transition occurs.

Maxwell’s Equations and Poynting’s theorem

  1. Calculate the skin depth of a magnetic wave as it penetrates a solid material and the distance at which the wave will have decayed to a particular level.

  2. Given the electric and magnetic fields, calculate the magnitude and direction of the Poynting vector.

  3. Calculate the speed of light for a given material.