Category
Electrical
Electrical engineering calculators for linear circuits, Ohm's law, AC power factor correction, RC time constants, and capacitor energy analysis.
STEM Topic Hub
Understanding Electrical
Core concepts, governing principles, and contextual organization in electrical.
Electrical Engineering encompasses the analysis, design, and practical implementation of electrical circuits, power delivery networks, and energy storage systems. DudeMath provides deterministic, client-side computational modules for direct current (DC) network analysis, alternating current (AC) power systems, and capacitive transient phenomena.
Core Governing Concepts & Formulas
Voltage, Current & Resistance
V = I × R Fundamental proportional relationship governing linear conductive circuits.
Electric Power & Dissipation
P = V × I = I²R Rate of energy conversion and thermal dissipation in resistive circuit elements.
AC Power Triangle
S = √(P² + Q²), PF = P / S = cos(θ) Vector relationship between real active power (W), reactive power (VAR), and apparent power (VA).
RC Circuit Transients
τ = R × C, v(t) = V₀(1 - e^(-t/τ)) Exponential voltage and current charging dynamics across capacitive networks.
Recommended Learning & Calculation Workflow
Core Theory Guides & Foundational Reference
Ohm's Law & Joule Dissipation
Linear V-I-R relationships, macroscopic conductor resistance, and component thermal dissipation limits.
AC Power Triangle & Power Factor
Vector relationships between real kW, reactive kVAR, and total apparent kVA capacity.
RC Transients & Frequency Response
Exponential capacitor charging time scales (τ), filter corner frequencies, and settling times.
Capacitor Electrostatic Energy
Coulomb charge accumulation (Q = CV) and quadratic energy storage (E = ½CV²).
Voltage Divider Attenuation
Series resistor division ratios, potentiometer circuits, and output loading impedance effects.
Scope & Limitations: These calculators solve steady-state and idealized lumped-element circuit models. They do not model non-linear semiconductor saturation, electromagnetic parasitics, or RF transmission line wave reflections.
Topic Clusters
Calculators by Topic
Calculators grouped by their specific engineering or mathematical focus area.
Ohm's Law & DC Circuits
Fundamental proportional relations between voltage, current, resistance, and dissipated power.
Ohm's Law Calculator: V = I·R & Electric Power | DudeMath
Solve voltage, current, resistance, and power in watts using Ohm's law circle (V=IR, P=VI, P=I²R). Free step-by-step DC circuit calculations.
Voltage Divider Calculator: Vout = Vin·R₂/(R₁+R₂) | DudeMath
Calculate output voltage and resistor ratios in unloaded voltage divider circuits with Vout = Vin·R2/(R1+R2). Step-by-step electronic DC circuit solutions.
RC Circuits & Transient Response
Transient resistor-capacitor charge accumulation, time constant tau (τ = RC), and cutoff frequency.
Electrostatic Energy & Storage
Stored electric charge Q = CV and electrostatic potential energy E = 1/2 CV².
AC Power & Power Factor
Alternating current power triangle, real active power, apparent power, and reactive compensation.