Capacitors and Inductors Workbench
Learn electric and magnetic energy storage through capacitor and inductor networks, physical geometry, dielectrics, transients, reactance, coupling, and LC resonance.
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How this tool works
Fourteen guided modules connect physical component construction to circuit behavior in time and frequency domains.
Every numerical plot names the measured quantity and unit, and each module explains the engineering meaning of the result.
Typed, restored, imported, and shared values are clamped before calculations and canvas drawing.
Core equations
Q = CVE_C = ½CV²C = εA/dτ_RC = RCi_C = C dv/dtE_L = ½LI²L ≈ μN²A/ℓτ_RL = L/Rv_L = L di/dtM = k√(L₁L₂)f₀ = 1/(2π√LC)Assumptions
- Components are ideal, linear, lumped, and temperature independent.
- Parallel-plate and solenoid models neglect fringing and leakage.
- Inductor network formulas assume no mutual coupling unless the mutual-inductance module is used.
- LC oscillation is lossless.
Limitations
- Not a substitute for component datasheets, dielectric-breakdown analysis, magnetic saturation analysis, thermal design, SPICE simulation, laboratory measurement, or electrical safety review.
- Real capacitors have ESR, ESL, leakage, tolerance, aging, and voltage dependence; real inductors have winding resistance, parasitic capacitance, core loss, and saturation.
References and verification
- Alexander and Sadiku, Fundamentals of Electric CircuitsCapacitor, inductor, transient, and sinusoidal circuit relationships.
- Griffiths, Introduction to ElectrodynamicsElectric and magnetic field energy and idealized geometry.