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Physics HL

SLHL

Chapter 19: Motion in Electric and Magnetic Fields

Develop full charged-particle trajectory fluency in uniform electric fields, uniform magnetic fields, and crossed fields, then connect those models to q/m measurements, velocity selectors, and accelerator beam control.

Estimated chapter time: 212 minutes

IB syllabus: D.3 · SL and HL

Chapter Topics

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  1. 1How to Read This Motion in Fields Chapter
    1. 1.1Why Chapter 19 Is a Mechanics-Electromagnetism Bridge
    2. 1.2Learning Targets
    3. 1.3Recommended Problem-Solving Workflow
  2. 219.1 Motion in Uniform Electric Fields
    1. 2.1Force and Acceleration Along a Field Line
    2. 2.2Perpendicular Entry: Why the Path Becomes Parabolic
    3. 2.3Energy View: Work by the Electric Field
  3. 319.2 Motion in Uniform Magnetic Fields
    1. 3.1Lorentz Force Geometry and Special Cases
    2. 3.2Circular Motion from v Perpendicular B
    3. 3.3Period and Frequency in Magnetic Circular Motion
  4. 419.3 Magnetic Work, Helical Motion, and Spiral Paths
    1. 4.1Why Magnetic Force Does Zero Work
    2. 4.2Helical Motion from Parallel and Perpendicular Components
    3. 4.3When and Why Spiral Paths Appear
  5. 519.4 Crossed Electric and Magnetic Fields
    1. 5.1Force Competition in Perpendicular E and B
    2. 5.2Velocity Selector Condition
    3. 5.3Interpreting Deflection Away from Selector Speed
  6. 619.5 Beam Applications, Charge-to-Mass Ratio, and Cyclotron Logic
    1. 6.1Two-Stage Beamline Reasoning
    2. 6.2Deriving the Charge-to-Mass Ratio Formula
    3. 6.3Cyclotron Frequency and the Relativistic Limit
  7. 7Chapter 19 Wrap-Up
    1. 7.1One Workflow That Solves Most Chapter 19 Problems

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How to Read This Motion in Fields Chapter