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What are the derivations in class 12 physics in the CBSE Board?

For CBSE Class 12 Physics, several key derivations are crucial for understanding and scoring well in the exams. Here are some of the important derivations organized by unit:

Electrostatics

Application of Gauss's Law: Derivation of the electric field due to various charge distributions like infinite plane sheet, spherical shell, and long cylindrical wire4.
Electric Field Due to Dipole: Derivations for the electric field at the axis and equatorial point of a dipole4.
Electric Potential Due to Dipole: Derivation of the electric potential at the axis of a dipole4.
Capacitance of a Parallel Plate Capacitor: Derivation of the capacitance formula for a parallel plate capacitor4.

Current Electricity

Drift Velocity of Electrons: Derivation of the drift velocity of electrons in a conductor4.
Relation Between Electric Current and Drift Velocity: Derivation showing how electric current is related to drift velocity4.

Magnetic Effects of Current and Magnetism

Magnetic Field Due to Circular Loop: Derivation of the magnetic field at the axis of a circular loop4.
Magnetic Field Due to Solenoid: Derivation of the magnetic field inside a solenoid4.
Magnetic Force Between Two Parallel Current Carrying Wires: Derivation of the force between two parallel current-carrying wires4.

Electromagnetic Induction and Alternating Currents

Motional EMF: Derivation of the induced EMF when a conductor moves in a magnetic field4.
Self Induction of a Long Solenoid: Derivation of self-inductance for a long solenoid4.
Displacement Current (Ampere Maxwell Law): Derivation of the displacement current and its inclusion in Ampere's law4.

Electromagnetic Waves

No specific derivations listed, but understanding the wave equation and the properties of electromagnetic waves is crucial.

Optics

While specific derivations are not listed, understanding the principles of ray optics and wave optics, including lens maker's formula, mirror formula, and Snell's law, is important.

Other Units

Dual Nature of Radiation and Matter: Derivations related to the photoelectric effect and Compton scattering might be relevant.
Atoms and Nuclei: Derivations related to the Bohr model of the atom and nuclear physics principles.
Electronic Devices: Basic derivations related to semiconductor electronics, though these are generally more formula-based than derivation-intensive.

For a comprehensive understanding, it is advisable to refer to detailed resources such as the videos and study materials provided by platforms like BYJU'S and Physics Wallah, which cover these derivations in detail1 4.