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Showing 24 of 258 formulas Page 6 of 11

Magnetic Force on Moving Charge

Physics β†’ Electricity and Magnetism β†’ Magnetic Fields β†’ Magnetic Force
$$F = qvB\sin\theta$$
Force on a charged particle moving in a magnetic field.
πŸ“– Physics πŸ“š Magnetic Fields

Capacitance (Parallel Plate)

Physics β†’ Electricity and Magnetism β†’ Capacitance β†’ Parallel Plate Capacitor
$$C = \epsilon_0\frac{A}{d}$$
Capacitance of parallel plate capacitor with vacuum dielectric.
πŸ“– Physics πŸ“š Capacitance

Thin Lens Equation

Physics β†’ Optics β†’ Geometric Optics β†’ Lenses
$$\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}$$
Relates focal length, object distance, and image distance for thin lenses.
πŸ“– Physics πŸ“š Geometric Optics

Magnification

Physics β†’ Optics β†’ Geometric Optics β†’ Magnification
$$M = -\frac{d_i}{d_o} = \frac{h_i}{h_o}$$
Ratio of image height to object height, negative indicates inversion.
πŸ“– Physics πŸ“š Geometric Optics

Diffraction Grating

Physics β†’ Optics β†’ Physical Optics β†’ Diffraction
$$d\sin\theta = m\lambda$$
Condition for constructive interference in diffraction grating.
πŸ“– Physics πŸ“š Physical Optics

Half-Life

Physics β†’ Nuclear Physics β†’ Radioactivity β†’ Half-life
$$t_{1/2} = \frac{\ln 2}{\lambda}$$
Time for half of radioactive nuclei to decay.
πŸ“– Physics πŸ“š Radioactivity

Stokes' Law (Viscous Drag)

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Drag Force
$$F_d = 6\pi\eta r v$$
Viscous drag force on a small sphere moving through a fluid.
πŸ“– Physics πŸ“š Viscosity

Bernoulli's Equation

Physics β†’ Fluid Mechanics β†’ Fluid Dynamics β†’ Bernoulli's Principle
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}$$
Conservation of energy for steady, incompressible, inviscid flow.
πŸ“– Physics πŸ“š Fluid Dynamics

Continuity Equation (Fluid)

Physics β†’ Fluid Mechanics β†’ Fluid Dynamics β†’ Continuity
$$A_1 v_1 = A_2 v_2$$
Mass conservation for incompressible flow: product of cross-sectional area and speed is constant.
πŸ“– Physics πŸ“š Fluid Dynamics

Thermal Expansion (Linear)

Physics β†’ Thermodynamics β†’ Thermal Properties β†’ Expansion
$$\Delta L = \alpha L_0 \Delta T$$
Change in length due to temperature change.
πŸ“– Physics πŸ“š Thermal Properties

Specific Heat Capacity

Physics β†’ Thermodynamics β†’ Heat Transfer β†’ Calorimetry
$$Q = mc\Delta T$$
Heat required to change temperature of a substance.
πŸ“– Physics πŸ“š Heat Transfer

Radius of nth Bohr Orbit

Physics β†’ Quantum Mechanics β†’ Atomic Structure β†’ Bohr Model
$$r_n = \frac{n^2 h^2 \epsilon_0}{\pi m e^2} = n^2 a_0$$
Radius of electron orbit in hydrogen atom according to Bohr model.
πŸ“– Physics πŸ“š Atomic Structure

Energy Levels in Bohr Model

Physics β†’ Quantum Mechanics β†’ Atomic Structure β†’ Bohr Model
$$E_n = -\frac{m e^4}{8 \epsilon_0^2 h^2 n^2} = -\frac{13.6\,\text{eV}}{n^2}$$
Energy of electron in nth orbit of hydrogen atom.
πŸ“– Physics πŸ“š Atomic Structure

Photon Energy from Wavelength

Physics β†’ Quantum Mechanics β†’ Light β†’ Photon Properties
$$E = \frac{hc}{\lambda}$$
Energy of photon in terms of wavelength.
πŸ“– Physics πŸ“š Light

Biot-Savart Law

Physics β†’ Electromagnetism β†’ Moving Charges And Magnetism β†’ Magnetic Field
$$d\vec{B} = \frac{\mu_0}{4\pi} \frac{I d\vec{l} \times \hat{r}}{r^2}$$
Describes the magnetic field generated by a constant electric current.
πŸ“– Physics πŸ“š Moving Charges And Magnetism

Work Done in Isothermal Process

Physics β†’ Thermodynamics β†’ Gas Laws β†’ Process Work
$$W = nRT \ln\left(\frac{V_2}{V_1}\right)$$
Work done by an ideal gas when temperature is held constant.
πŸ“– Physics πŸ“š Gas Laws

Parallel Axis Theorem

Physics β†’ Mechanics β†’ Rotational Motion β†’ Moment Of Inertia
$$I = I_{cm} + Md^2$$
Relates the moment of inertia of a body about any axis to the moment of inertia about a parallel axis through the center of mass.
πŸ“– Physics πŸ“š Rotational Motion

Magnetic Force on Charge

Physics β†’ Electromagnetism β†’ Moving Charges β†’ Lorentz Force
$$F = qvB \sin \theta$$
Force exerted on a moving point charge in a magnetic field.
πŸ“– Physics πŸ“š Moving Charges

Power in AC Circuits

Physics β†’ Electromagnetism β†’ Alternating Current β†’ Power
$$P = V_{rms} I_{rms} \cos \phi$$
Real power consumed in an AC circuit with a phase difference.
πŸ“– Physics πŸ“š Alternating Current

Kirchhoff's Current Law (KCL)

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Circuit Laws
$$\sum I_{in} = \sum I_{out}$$
The total current entering a junction is equal to the total current leaving the junction.
πŸ“– Physics πŸ“š Current Electricity

Energy of a Photon

Physics β†’ Modern Physics β†’ Dual Nature β†’ Quantization
$$E = hf = \frac{hc}{\lambda}$$
Relates the energy of a light particle to its frequency or wavelength.
πŸ“– Physics πŸ“š Dual Nature

Buoyant Force

Physics β†’ Fluid Mechanics β†’ Statics β†’ Archimedes' Principle
$$F_b = \rho V g$$
Upward force exerted by a fluid on an immersed object.
πŸ“– Physics πŸ“š Statics

Stokes' Law

Physics β†’ Fluid Mechanics β†’ Viscosity β†’ Drag Force
$$F_d = 6\pi \eta r v$$
Force of viscosity on a small sphere moving through a viscous fluid.
πŸ“– Physics πŸ“š Viscosity

Root Mean Square Speed

Physics β†’ Thermodynamics β†’ Kinetic Theory β†’ Gas Speeds
$$v_{rms} = \sqrt{\frac{3RT}{M}}$$
The measure of the speed of particles in a gas.
πŸ“– Physics πŸ“š Kinetic Theory
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