Hello Aspirant,
For Class 12th Physics, Chapter: Electric Charges and Fields , key derivations include:
Coulomb's Law : Formula for force between two charges.
Electric Field due to a Point Charge : Deriving E=kQ/r2.
Electric Field on Axial Line of a Dipole : Finding E along the dipole's axis.
Electric Field on Equatorial Line of a Dipole : Finding E perpendicular to the dipole.
Torque on an Electric Dipole in a Uniform Electric Field : Deriving τ=pEsinθ.
Electric Field due to an Infinitely Long Straight Uniformly Charged Wire (using Gauss's Law) .
Electric Field due to a Uniformly Charged Infinite Plane Sheet (using Gauss's Law) .
Electric Field due to a Uniformly Charged Thin Spherical Shell (using Gauss's Law) .
These derivations explain how electric fields and forces behave around charges and dipoles
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