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Capacitive and Inductive Reactance

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Reactance — AC opposition that depends on frequency

Resistance opposes current in both DC and AC. Capacitors and inductors add another kind of opposition in AC circuits called reactance.

Recognize the three symbols first

RESISTOR R resistance unit: Ω CAPACITOR C capacitance unit: F INDUCTOR / COIL L inductance unit: H
These three symbols will appear repeatedly. Learning to recognize them is part of learning to read schematics.

The capacitor is the pair of separated plates. The inductor is drawn as a coil. Once those two shapes become familiar, AC schematics become much easier to read.

Symbols

XC = capacitive reactance, in ohms
XL = inductive reactance, in ohms
f = frequency in hertz
C = capacitance in farads
L = inductance in henrys

Capacitor: easier at higher frequency

A capacitor blocks steady-state DC after charging, but alternating current can repeatedly charge and discharge it. As frequency increases, a capacitor generally offers less reactance.

Inductor: harder at higher frequency

An inductor resists changes in current through its magnetic field. Faster changes mean more opposition, so inductive reactance generally increases with frequency.

The opposite frequency behaviors are worth memorizing

Capacitor: XC goes DOWN as frequency goes UP XC frequency f → Inductor: XL goes UP as frequency goes UP XL frequency f →

Capacitor: frequency up → XC down.
Inductor: frequency up → XL up.

XC = 1/(2πfC)
XL = 2πfL

Reactance is not quite the same thing as resistance

Both are measured in ohms because both affect how much current flows. But an ideal resistor converts electrical energy to heat, while an ideal capacitor or inductor stores energy temporarily in an electric or magnetic field and can return it to the circuit.

That energy storage is also why capacitors and inductors can shift the timing — or phase — between voltage and current.

A little history

As telegraphy, telephony, radio, and AC power developed, engineers needed ways to describe how capacitors and inductors behaved at different frequencies. Reactance became a central part of AC network analysis.

Try these yourself

As frequency increases, capacitive reactance Xc: Capacitor: XC goes DOWN as frequency goes UP XC frequency f → Inductor: XL goes UP as frequency goes UP XL frequency f →
Xc = 1/(2πfC), so increasing frequency reduces capacitive reactance.
As frequency increases, inductive reactance XL: Capacitor: XC goes DOWN as frequency goes UP XC frequency f → Inductor: XL goes UP as frequency goes UP XL frequency f →
XL = 2πfL, so increasing frequency increases inductive reactance.
Reactance is measured in: RESISTOR R resistance unit: Ω CAPACITOR C capacitance unit: F INDUCTOR / COIL L inductance unit: H
These three symbols will appear repeatedly. Learning to recognize them is part of learning to read schematics.
Like resistance, reactance is measured in ohms, even though its cause is energy storage rather than ordinary resistance.