1. Introduction
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
| Aspect | Normal Frequency f | Angular Frequency ω (omega) |
|---|---|---|
| Meaning | Number of complete cycles per second | Rate of change of angle (radians) per second |
| Unit | Hertz (Hz) | Radians per second (rad/s) |
| Represents | How many times an event repeats in 1 second | How fast the phase angle changes in 1 second |
| Formula relation | f=1/T (where T is period) | ω = 2πf = 2π/T |