Your smartphone touchscreen is an array of tiny capacitors. Your body is a conductor; touching the glass changes the local capacitance, altering the electric field so the controller pinpoint tracks your touch.
Physics mastered with unshakable clarity.
14 chapters, unbroken derivations, verified formula maps, and real-life physical intuition. From Gauss's law flux surfaces to semiconductor band theory, study without confusion.
numericals follow! ⚡
Physics isn't abstract symbols.
It's the world around you in action.
High-frequency alternating current generates a fluctuating magnetic field. By Faraday's Law, this induces powerful Eddy currents in the iron pan base, converting magnetic energy directly to heat via Joule effect ($I^2R$).
Undersea glass fiber cables bounce laser light across continents through Total Internal Reflection (TIR). Light remains trapped inside the higher-refractive-index core because the angle of incidence exceeds the critical angle.
The Photoelectric Effect in action: incident photons with energy greater than the semiconductor bandgap ($h\nu > E_g$) eject electrons from the valence band to create a continuous potential difference and current.
Explore chapters in depth.
Hover or tap to flip for real-life insights & exam keys.
Type below to instantly find any chapter, derivation, or law.
Electric Charges & Fields
Coulomb's Law, field due to dipole (axial & equatorial), and Gauss's law with line charge and infinite plane sheet derivations.
Photocopiers place electrostatic charges on a selenium drum. Toner powder sticks only to charged areas before being baked onto paper.
Potential & Capacitance
Equipotential surfaces, dipole potential, parallel plate capacitor with dielectric slab, and energy density formulas.
A medical defibrillator stores energy over several seconds in high-voltage capacitors and releases it in a fraction of a second to reset a heart rhythm.
Current Electricity
Drift velocity derivation, temperature dependence of resistivity, cell combinations, and Kirchhoff’s laws with Wheatstone bridge proof.
As EV batteries age, their internal resistance ($r$) rises, causing terminal voltage ($V = E - Ir$) to drop during acceleration and producing excess heat.
Moving Charges & Magnetism
Biot-Savart Law on circular loop axes, Ampere’s Law, force between two parallel conductors, and Moving Coil Galvanometer conversion.
Maglev trains use superconducting electromagnets to hover above tracks, eliminating rail friction to reach speeds exceeding 400 km/h.
Magnetism & Matter
Bar magnet as equivalent solenoid, magnetic field lines, Gauss's law for magnetism, and Dia, Para, and Ferromagnetic material comparisons.
Magnetic Resonance Imaging (MRI) uses powerful magnetic fields to align hydrogen protons in body tissue, detecting radio wave echoes to generate cross-sectional scans.
Electromagnetic Induction
Faraday’s law of induction, Lenz’s law energy conservation, motional EMF, Eddy current braking, and self/mutual inductance formulas.
High-speed rollercoasters use copper fins moving past permanent magnets. Eddy currents created inside the copper safely slow the train down without brake pads touching.
Alternating Current
RMS vs Peak values, series LCR circuit phasor analysis, electrical resonance, quality factor ($Q$), and Step-Up/Step-Down Transformers.
When you tune an FM radio, you adjust a capacitor so the circuit's natural resonant frequency matches the station's broadcast frequency, rejecting all other signals.
Electromagnetic Waves
Displacement current origin, Maxwell equations summary, transverse nature of light, and the electromagnetic spectrum from radio to gamma rays.
GPS satellites orbit thousands of kilometers away, sending precise radio waves that travel through vacuum at the speed of light to calculate your smartphone location.
Ray Optics & Optical Instruments
Total Internal Reflection, Lens Maker’s Formula derivation, prism deviation, compound microscope, and astronomical telescope ray diagrams.
Doctors use flexible fiber-optic endoscopes to see inside human organs without surgery. Light transmits down thin glass fibers and returns clean live video.
Wave Optics
Huygens principle wavefronts, laws of reflection & refraction proofs, Young's Double Slit fringe width ($\beta = \lambda D/d$), and single-slit diffraction.
The swirling rainbow sheen on oily water puddles or bubble surfaces is caused by thin-film wave interference, canceling some colors while amplifying others.
Dual Nature of Radiation & Matter
Hertz observations, stopping potential vs frequency graphs, Einstein's photoelectric equation, and de Broglie matter wavelength ($\lambda = h/p$).
Electron microscopes use accelerating electrons instead of light. Because an electron’s de Broglie wavelength is 100,000 times smaller than visible light, it can resolve individual viruses.
Atoms
Geiger-Marsden experiment, Rutherford model shortcomings, Bohr quantization postulate, orbital radii & energy formulas, and Hydrogen spectral series.
Astronomers analyze light from stars billions of kilometers away. The specific dark lines in a star’s spectrum identify its elemental composition (Hydrogen, Helium) with absolute precision.
Nuclei
Constant nuclear density proof, mass defect, binding energy per nucleon curve, short-range nuclear forces, and nuclear Fission & Fusion.
Inside the Sun's core, 600 million tons of Hydrogen fuse into Helium every second. The tiny lost mass ($Δm$) transforms into radiant heat supporting all life on Earth.
Semiconductor Electronics
Energy band theory in solids, intrinsic vs extrinsic semiconductors, p-n junction formation, and Half-Wave/Full-Wave Rectifier circuits.
Modern computer processors contain billions of microscopic p-n junction transistors etched onto silicon wafers, operating as binary switches billions of times per second.
Ready to master the derivation? Start with Chapter 1.
No paywalls, no login walls. Jump straight into Electric Charges & Fields and begin your revision.
Start Reading Chapter 01 →