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Classical Mechanics

Drag Force

The fluid resistance force opposing the motion of an object moving through a liquid or gas.

Fd = ½ ρ v² Cd A N
Astrophysics, Cosmology & Relativity

Drake Equation

A probabilistic equation formulated by Frank Drake in 1961 to estimate the number N of active, communicative extraterrestrial civilizations…

N = R* · f_p · n_e · f_l · f_i · f_c · L Number of Civilizations N
Condensed Matter & Materials Physics

Ductility

A material's mechanical capability to undergo significant plastic strain deformation under tensile stress before fracturing.

% Elongation = ((L_break - L₀) / L₀) × 100% % (Percent Elongation or Area Reduction)
Plasma Physics

Dusty Plasma

A complex plasma containing solid nanometer-to-micrometer scale dust grains that collect high negative charges from surrounding plasma…

Q_dust ~ - 10³ e to - 10⁵ e (Charged Micron Dust Grains) μm (Dust Size) & Charged State
Classical Mechanics

Dynamic Equilibrium

The state of a physical system moving at constant linear velocity and constant angular velocity with zero net force and zero net torque.

∑ F = 0 (v = const ≠ 0), ∑ τ = 0 (ω = const) N, N·m
Geophysics & Environmental Physics

Earth's Energy Budget

The precise balance between incoming solar radiation absorbed by Earth and outgoing thermal infrared radiation emitted back into space.

F_solar (340 W/m²) = F_reflected (100 W/m²) + F_emitted_IR (240 W/m²) W/m² (Watts per square meter)
Geophysics & Environmental Physics

Earth's Inner Core

The solid, innermost spherical core of Earth composed primarily of a crystallized iron-nickel alloy at intense pressure.

Radius R ≈ 1220 km, Pressure P ≈ 330–360 GPa GPa (Pressure) & Kelvin (~5700 K)
Geophysics & Environmental Physics

Earth's Outer Core

The fluid interior layer of Earth ~2,260 km thick composed of liquid iron-nickel alloy surrounding the solid inner core.

Radius ~ 3480 km to 1220 km (Liquid Iron-Nickel Alloy) Pa·s (Liquid Viscosity ~10⁻³ Pa·s)
Waves, Oscillations & Acoustics

Echo

A distinct reflected sound wave received at the listener's ear with sufficient time delay after the direct sound.

d = v t / 2 m
Electromagnetism & Electronics

Eddy Currents

Loops of electric current induced within solid bulk conductors by a changing magnetic field according to Faraday's law.

P_eddy ∝ f² B_max² t² W (Watts)
Plasma Physics

Edge Localized Modes (ELMs)

Periodic magnetohydrodynamic bursts occurring at the boundary edge pedestal of H-mode tokamak plasmas, expelling heat and particles toward…

Magnetohydrodynamic Peeling-Ballooning Boundary Instability MJ (Energy Loss Pulse per ELM)
Biophysics & Medical Physics

Effective Dose

A radiation protection quantity representing the overall stochastic health risk to the whole body by weighting organ equivalent doses by…

E = ∑ H_T × w_T = ∑ D_T × w_R × w_T mSv (Millisieverts)
Condensed Matter & Materials Physics

Effective Mass

A parameter that simplifies modeling electron and hole dynamics in a crystal lattice by treating them as free particles with a modified…

m* = ℏ² / (d²E / dk²) kg or Fraction of Rest Mass m_e
Classical Mechanics

Efficiency

The ratio of useful work output to total energy input for a machine or system.

η = (W_output / E_input) × 100% %
Mathematical & Computational Physics

Eigenvalue Problem

The linear algebra problem of finding non-zero eigenvectors v that, when operated on by a linear operator Â, yield a scalar multiple λ of…

 v = λ v, det(A - λ I) = 0 Eigenvalues λ (Scalar Units)
Mathematical & Computational Physics

Eigenvalues and Eigenvectors

Special vectors v associated with a linear transformation matrix A that maintain their spatial direction when operated on, scaled only by…

A v = λ v (where v ≠ 0) Linear Algebra Object
Astrophysics, Cosmology & Relativity

Einstein Field Equations

The set of 10 non-linear partial differential equations in general relativity relating spacetime curvature (Ricci tensor R_μν) to…

R_μν - ½ R g_μν + Λ g_μν = (8 π G / c⁴) T_μν Non-linear 4D Tensor Equations
Classical Mechanics

Elastic Collision

A collision between bodies in which both total linear momentum and total kinetic energy are conserved.

∑ p_i = ∑ p_f, ∑ KE_i = ∑ KE_f kg·m/s, J
Classical Mechanics

Elasticity

The mechanical property of a material to deform under applied stress and return to its original shape when stress is removed.

Stress / Strain = Elastic Modulus (E) Pa (N/m²)
Electromagnetism & Electronics

Electric Charge

A fundamental intrinsic physical property of subatomic particles that causes matter to experience an electrostatic force when placed in an…

q = n e, e = 1.602 × 10⁻¹⁹ C C (Coulombs)
Electromagnetism & Electronics

Electric Current

The rate of net flow of electric charge through a cross-sectional area of a conductor per unit time.

I = dq/dt = n q v_d A A (Amperes = C/s)
Electromagnetism & Electronics

Electric Dipole

A system of two equal and opposite electric charges (+q and -q) separated by a small distance d.

p = q d, V = (1 / (4π ε₀)) (p cos θ / r²) C·m (Coulomb-meters)
Electromagnetism & Electronics

Electric Dipole Moment

A vector quantity measuring the strength and orientation of an electric dipole, pointing from the negative charge toward the positive…

p = q d, τ = p × E, U = -p · E C·m (or Debye)
Electromagnetism & Electronics

Electric Field

A vector field surrounding an electric charge that exerts an electrostatic force on any other charge placed within the field.

E = F / q = -∇V = (1 / (4π ε₀)) q / r² r̂ N/C (or V/m)