37.6991
Ω
26.5258
Ω
11.1733
Ω
50.3292
Hz
37.6991
Ω
26.5258
Ω
11.1733
Ω
50.3292
Hz
The reactance calculator computes inductive reactance (XL) and capacitive reactance (XC) for given component values at a specified frequency. Reactance is the frequency-dependent opposition that inductors and capacitors present to alternating current (AC), distinct from resistance which is independent of frequency. Understanding reactance is fundamental to AC circuit analysis, filter design, impedance matching, and power factor correction.
Inductive reactance XL = 2πfL increases linearly with frequency. At DC (f = 0), an inductor is a short circuit (XL = 0). As frequency increases, an inductor increasingly resists current flow, eventually appearing as an open circuit at very high frequencies. This property makes inductors effective at blocking high-frequency noise while passing DC and low-frequency signals.
Capacitive reactance XC = 1/(2πfC) decreases inversely with frequency. At DC, a capacitor is an open circuit (XC → ∞). As frequency increases, the capacitor passes current more easily, appearing as a short circuit at very high frequencies. This makes capacitors effective at blocking DC while passing AC signals — the principle behind coupling capacitors in amplifiers.
The net reactance X = XL - XC determines the overall reactive character of a circuit. When X > 0, the circuit is inductive (current lags voltage). When X < 0, the circuit is capacitive (current leads voltage). When X = 0, the circuit is at resonance — the operating frequency equals the resonant frequency 1/(2π√(LC)).
Power engineers use reactance calculations for power factor correction. Capacitor banks are added to industrial facilities to offset inductive reactance from motors and transformers, bringing the power factor closer to unity. RF engineers use reactance to design matching networks, transforming impedances to maximize power transfer.
This calculator accepts frequency in Hz, inductance in millihenries (mH), and capacitance in microfarads (µF). It simultaneously displays XL, XC, net reactance, and the resonant frequency for the given L and C values.
Inductive reactance: XL = 2πfL = ωL, where ω = 2πf is the angular frequency and L is in henries (converted from mH). Capacitive reactance: XC = 1/(2πfC) = 1/(ωC), where C is in farads (converted from µF). Net reactance: X = XL - XC. Resonant frequency: fr = 1/(2π√(LC)), independent of the operating frequency input.
If XL > XC, the circuit is net inductive — add capacitance to reduce reactance toward resonance. If XC > XL, add inductance. At resonance (X = 0), impedance is purely resistive. The resonant frequency output shows what frequency would bring the given L and C to resonance.
Inputs
Results
At 60 Hz with L = 265.3 mH and C = 26.53 µF, XL = XC = 100 Ω — the circuit is at resonance with zero net reactance.
Inputs
Results
At 1 kHz, L = 15.9 mH and C = 15.9 µF give approximately equal reactances (~100 Ω), confirming the crossover point design.
Resistance (R) opposes current equally at all frequencies and dissipates power as heat. Reactance (X) is frequency-dependent and stores/releases energy without net dissipation. Together they form impedance Z.
Reactance is measured in ohms (Ω), the same unit as resistance and impedance. However, unlike resistance, reactance can be positive (inductive) or negative (capacitive).
XL = XC at the resonant frequency fr = 1/(2π√(LC)). At this frequency, net reactance is zero and the impedance of a series LC circuit is minimum (purely resistive).
At higher frequencies, the capacitor charges and discharges more rapidly, allowing more current to flow per unit time. The relationship XC = 1/(2πfC) shows XC is inversely proportional to f — doubling frequency halves XC.
Industrial loads with inductive motors have lagging power factor (inductive reactance dominates). Capacitor banks add capacitive reactance to cancel the inductive reactance, bringing the circuit closer to unity power factor and reducing apparent power (kVA).
For a pure inductor, XL = 0 only at DC (f = 0). For a pure capacitor, XC → ∞ at DC. However, in a series LC circuit, the net reactance X = XL - XC = 0 at the resonant frequency.
Susceptance B = 1/X is the reciprocal of reactance, measured in siemens (S). Inductive susceptance BL = -1/XL and capacitive susceptance BC = 1/XC. These are the imaginary parts of admittance Y = G + jB.
In a purely inductive circuit, voltage leads current by 90° (phase angle +90°). In a purely capacitive circuit, current leads voltage by 90° (phase angle -90°). With both R and X, the phase angle θ = arctan(X/R).
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