AC & Frequency Tools — Sine Wave, Reactance, Impedance, Resonance

Sine Wave Parameters

Enter any one value — all others are derived

Frequency (Hz)

Period (s)

Peak Voltage (Vp)

RMS Voltage (Vrms)

Frequency

—

Period T

—

ω (rad/s)

—

Peak Vp

—

Vrms

—

Avg Value

—

T = 1/f | ω = 2πf

Vrms = Vp / √2 ≈ 0.707 × Vp

Vavg = 2Vp / π ≈ 0.637 × Vp

v(t) = Vp × sin(ωt + φ)

Reactance Calculator

Frequency (Hz)

Capacitance (µF)

Inductance (mH)

Capacitive Xc

—

Inductive Xl

—

Xc = 1 / (2π × f × C) — Capacitive reactance (Ω)

Xl = 2π × f × L — Inductive reactance (Ω)

Xc decreases with frequency. Xl increases with frequency.

Series Impedance (R-L-C)

Resistance R (Ω)

Frequency (Hz)

Capacitance (µF)

Inductance (mH)

Impedance Z

—

Phase Angle φ

—

Net Reactance

—

Z = √(R² + (Xl − Xc)²)

φ = arctan((Xl − Xc) / R)

φ > 0: inductive | φ < 0: capacitive | φ = 0: resonance

LC Resonance

Xl = Xc at resonance — impedance is purely resistive

Inductance (mH)

Capacitance (µF)

Resonant Freq f₀

—

Angular ω₀

—

Period T₀

—

Xc = Xl at f₀

—

f₀ = 1 / (2π√(LC))

ω₀ = 1 / √(LC)

At resonance: Xl = Xc, circuit current is maximum, Z = R only.

Power Factor

Resistance R (Ω)

Frequency (Hz)

Capacitance (µF)

Inductance (mH)

RMS Voltage (V)

Power Factor

—

Phase Angle

—

Impedance Z

—

True Power P

—

Reactive Q

—

Apparent S

—

PF = cos(φ) = R / Z

P = V²/Z × PF (W) | Q = V²/Z × sin(φ) (VAR)

S = V² / Z (VA) | S² = P² + Q²

PF = 1: purely resistive | PF = 0: purely reactive

〜 AC & Frequency Tools

Sine Wave Parameters

Reactance Calculator

Series Impedance (R-L-C)

LC Resonance

Power Factor

〜 Sine Wave Visualizer