Text Book Of Magnetostatics

Contents

Preface

1. Magnetostatics

Introduction, The Definition of B. The Lorentz Force, The on a current Carrying Wire, The Force Per Current Element or Magnetic Flux Density B, Magnetic Flux Og’ Magnetic Flux Over a Closed Surface (or Gauss’ Law in Magnetostatics), Torque on a Current Coil in Uniform Magnetic Field, Equivalence of Current Loop to a Short Magnetised Bar (or Magnetic Dipole), Ballistic Galvanometer, Condition when a Moving Coil Galvanometer is Dead Beat or Ballistic, Effect of Electromagnetic Damping Resistance on Sensitivity, Damping, Applications of B.G., Direct Current Ammeter and Voltmeter, The Hall Effect, The Force on a Magnetic Dipole in a Non-Uniform External Magnetic Field.

2. Dynamics of Charged Particles

Charged Particle in Uniform (Static) Electric Field Applied Along the Direction of the Particle Motion, Motion of a Charged Particle in Uniform Transverse Electric Field, Charged Particle in a Constant Uniform Magnetic Field, Cyclotron, Cathode Ray Oscillograph, Deflection Sensitivity in Electric field, Magnetic Deflection sensitivity, Time Base, Uses of Cathode Ray Oscilloscope, Charged Particle in Parallel Magnetic and Electric Fields, Positive Rays (or Canal Rays) and Cathode Rays, determination of E/M of Positive Rays by J.J. Thomson Method (Thomson Mass Spectrograph), Comparison of E/M by Analysis of Traces, Charged Particle in Crossed Magnetic and Electric Field (E/M of Electron by JJ. Thomson Method) . Aston’s Mass Spectrograph, 180° Magnetic Focussing. Dempster Mass Spectrograph, Velocity Selector, Bainbridge’s Mass Spectrograph. Table of Charge and Mass for Common Particles, Magnetron, B-ray Spectrometer, The Betatron.

3. Practical Applications of Electromagnetic Induction

Earth Inductro, Standard Magnetic Flux, Uses of Earth Inductor, Measurement of a Strong Magnetic Field using a Search Coil, Grassot’s Flux Meter, A.C. Generator or Dynamo, D.C. Generator or Dynamo, Energy Losses in Generator and Their Reduction, Efficiency of a Generator, D.C. Motors.

4. The Magnetic Field Due to Steady Currents

Introduction, Magnetic Field of a Moving Point Charge (Laplace Rule). The Biot-Savart Law, The Force Between Two Finite Elements of Current, Applications of Biot- Savart Law, The Solid Angle Form of Biot-Savart Law and the Magnetic Scalar Potential, Ampere’s Circuital Law or Ampere’s Law, Proof of Ampere’s Law-The Line Integral of the Magnetic Field Vector, Applications of Ampere’s Law?, Applications of Ampere’s Law, Character of Lines and the Divergence of B, Ampere’s Law in Curl Form of Curl and Stoke’ Theorem, The Vector Potential, The Vector Potentials of Known Currents, Applications of Vector Potentials.

5. Electromagnetic Induction.

Introduction, Faraday’s Experiment of Electromagnetism, Explanation of Faraday’s Experimental Observations, Faraday’s Conclusion, Lenz’s Law, Induction and Relative Motion, Motion of a Conductor in a Magnetic Field-Induced Potential Difference, Lorentz Force and Faraday’s Law of Electromagnetic Induction, Mutual Induction, Eddy Currents, Growth and Decay of Current in L-R Circuit, Power of an A.C. Circuit, Wattless Current, Choke Coil, Transformer, Resonant Circuits, Some Formulae.