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Impedance & Reactance

Unlike pure resistors, the impedance of Inductors and Capacitors changes based on the frequency of the signal passing through them. This frequency-dependent resistance is called Reactance ($X$).

The Inductor (L)

Inductors resist changes in current. At very low frequencies (DC), an inductor acts like a piece of wire (short circuit). As frequency increases, it becomes harder for the current to change direction, so the impedance increases linearly.

X_L = 2πfL

The Capacitor (C)

Capacitors resist changes in voltage. At very low frequencies (DC), a capacitor blocks current completely (open circuit). As frequency increases, the capacitor charges and discharges fast enough that it appears as a short circuit.

X_C = 1 / (2πfC)

Component Setup

Circuit Topology

Adjusting Inductance (1 to 100 nH)

Visible Traces

*Traces auto-update the rectangular chart below.

Impedance Magnitude |Z| (Ω)

S-Parameters (dB)

Smith Chart Visualizer

Generate an industry-standard .s2p file from your current settings and process it to render a high-fidelity Smith Chart.

Moving on the Smith Chart

If you requested a Smith Chart plot above, you'll notice how the traces hug the outer edge of the chart. The outer ring of the Smith Chart represents pure reactance (zero resistance).

  • Inductors always plot on the top half of the Smith Chart. As frequency goes up, they travel clockwise toward the right side (Open Circuit / Infinite Impedance).
  • Capacitors always plot on the bottom half of the Smith Chart. As frequency goes up, they travel clockwise toward the left side (Short Circuit / Zero Impedance).

Teaser: The Magic of Resonance

What happens if we put an Inductor and a Capacitor in the same circuit? Because $X_L$ goes up with frequency, and $X_C$ goes down, there is exactly one magical frequency where they cross. At this frequency, their reactances perfectly cancel each other out ($X_L - X_C = 0$). This is called Resonance, and it is the foundational concept behind all RF filters, matching networks, and antennas. We will build LC circuits in our next tutorial module!