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Electromagnetism & Electronics

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Electromagnetism & Electronics

Operational Amplifier (Op-Amp)

A high-gain DC-coupled electronic voltage amplifier with differential inputs and single-ended output.

V_out = A_OL (V_+ - V_-) V (Volts)
Electromagnetism & Electronics

Parallel Circuit

An electrical circuit topology in which components are connected across common voltage nodes, offering multiple parallel paths for current.

1 / R_total = (1/R₁) + (1/R₂) + (1/R₃), V_total = V₁ = V₂ = V₃ Ω (Ohms)
Electromagnetism & Electronics

Paramagnetism

A weak form of magnetism in which materials with unpaired electrons are weakly attracted into an external magnetic field.

χ_m = C / T (Curie's Law) Dimensionless (χ_m > 0)
Electromagnetism & Electronics

Power Factor

The ratio of real power dissipated by an AC circuit to the apparent power delivered by the supply.

PF = cos φ = P_real / S_apparent = R / Z Dimensionless (0 to 1)
Electromagnetism & Electronics

Poynting Vector

A vector representing the directional energy flux density (power per unit area) transported by an electromagnetic field.

S = (1 / μ₀) (E × B) W/m² (Watts per square meter)
Electromagnetism & Electronics

RC Circuit & Time Constant

An electrical circuit composed of resistors and capacitors driven by a voltage source, characterized by its exponential charging and…

V(t) = V₀ e^(-t / τ), τ = R C s (Seconds)
Electromagnetism & Electronics

RL Circuit

An electrical circuit containing resistors and inductors, characterized by an exponential delay in current growth and decay governed by…

I(t) = (V₀ / R) (1 - e^(-t / τ)), τ = L / R s (Seconds)
Electromagnetism & Electronics

RLC Circuit & Resonance

An electrical circuit containing a resistor, inductor, and capacitor whose total impedance reaches a minimum at the resonant frequency.

f_res = 1 / (2π √(L C)), Z = √(R² + (X_L - X_C)²) Hz (Frequency), Ω (Impedance)
Electromagnetism & Electronics

RMS Current

The Root-Mean-Square value of an alternating current (AC), representing the equivalent direct current (DC) that delivers equal average…

I_rms = I_peak / √2 ≈ 0.707 I_peak A (Amperes)
Electromagnetism & Electronics

Self-Inductance

The property of an electrical conductor or coil whereby a change in current induces an opposing electromotive force in the conductor itself.

E = -L (dI/dt), L = N Φ_B / I H (Henries = V·s/A)
Electromagnetism & Electronics

Semiconductor Diode

A two-terminal semiconductor device formed by a p-n junction that allows electric current to flow easily in one direction while blocking it…

I = I_s [exp(e V / (k_B T)) - 1] A (Current), V (Voltage)
Electromagnetism & Electronics

Series Circuit

An electrical circuit topology in which components are connected end-to-end sequentially along a single continuous current path.

R_total = R₁ + R₂ + R₃, I_total = I₁ = I₂ = I₃ Ω (Ohms)
Electromagnetism & Electronics

Solenoid

A long helical coil of insulated wire that produces a uniform interior magnetic field when an electric current flows through it.

B = μ₀ n I (where n = N / L) T (Tesla)
Electromagnetism & Electronics

Toroid

A doughnut-shaped ring wrapped with insulated wire that confines a uniform magnetic field completely within its circular core.

B = (μ₀ N I) / (2π r) T (Tesla)
Electromagnetism & Electronics

Transformer

A static AC electrical device that transfers electrical energy between circuits through mutual electromagnetic induction to step up or step…

V_s / V_p = N_s / N_p = I_p / I_s Dimensionless (Turns Ratio)
Electromagnetism & Electronics

Voltage

The electric potential difference between two points, defined as the work required per unit charge to move a positive test charge between…

V = W / q = I R V (Volts = J/C)
Electromagnetism & Electronics

Wattless Current

The component of alternating current that is 90 degrees out of phase with AC voltage, consuming zero net electrical power.

I_wattless = I_rms sin φ A (Amperes)
Electromagnetism & Electronics

Wheatstone Bridge

An electrical bridge network consisting of four resistor arms used to measure an unknown electrical resistance with high precision.

R_x = R₃ (R₂ / R₁) (when balanced: I_galvanometer = 0) Ω (Ohms)
Electromagnetism & Electronics

Zener Diode

A heavily doped silicon p-n junction diode designed to operate safely in reverse breakdown mode to maintain a precise reference voltage.

V_out = V_Z (constant in reverse breakdown) V (Volts)