1. Introduction

2. Magnetic force

3. Motion in a magnetic field

4. Magnetic filed due to a current element, Biot - Savart law

5. Magnetic field on the axis of a circular current loop

6. Ampere's circuital law

7. The solenoid

8. Force between 2 parallel currents, the ampere

9. Torque on current loop, Magnetic dipole

10. The moving coil galvanometer

Summary

Magnetic Field from Moving Charges: Moving charges or electric currents produce magnetic fields around them, demonstrated experimentally by Oersted.

Magnetic Force: The force experienced by a moving charge in a magnetic field is perpendicular to both the direction of motion and the field, with no work done as the force is always orthogonal to displacement.

Biot-Savart Law: This law gives the magnetic field due to a current element and plays a pivotal role in calculations involving circular coils, straight wires, and arcs.

Ampere’s Circuital Law: Relates the magnetic field around a closed loop to the current passing through the loop; valid only for steady currents.

Motion in Magnetic and Electric Fields: Charged particles can undergo complex motion when subject to both electric and magnetic fields, such as in velocity selectors and cyclotrons.

Magnetic Field in Conductors: Includes analysis for straight wires, solenoids, and toroids and the concept of magnetic dipole moment.

Applications: Key applications discussed include electric motors, particle accelerators, transformers, and MRI machines, linking theory to real-world technologies.

Measurement Devices: Introduction to devices like the moving coil galvanometer, used to measure electric current through magnetic effects.

Difference Between Angular Frequency and Normal Frequency

AspectNormal Frequency fAngular Frequency ω (omega)
MeaningNumber of complete cycles per secondRate of change of angle (radians) per second
UnitHertz (Hz)Radians per second (rad/s)
RepresentsHow many times an event repeats in 1 secondHow fast the phase angle changes in 1 second
Formula relationf=1/T (where T is period)ω = 2πf = 2π/T
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