L/C Reactance Calculator

The Formulas

The formulas for calculating reactance are:

For inductors (inductive reactance):

\[X_L = 2\pi f L\]

For capacitors (capacitive reactance):

\[X_C = \frac{1}{2\pi f C}\]

Where:

• X_L and X_C: Reactance (in ohms, Ω)
• f: Frequency (in hertz, Hz)
• L: Inductance (in henries, H)
• C: Capacitance (in farads, F)
• π: Pi (approximately 3.14159)

Calculation Steps

1. Identify the component type (inductor or capacitor)
2. Determine the component value and ensure it's in the correct units (H for inductors, F for capacitors)
3. Identify the frequency in Hz
4. Apply the appropriate formula based on the component type
5. Calculate the result to get the reactance in ohms

Example Calculation

Let's calculate the reactance for an inductor of 10 mH at a frequency of 1 kHz:

1. Component: Inductor
2. L = 10 mH = 0.01 H
3. f = 1 kHz = 1000 Hz
4. X_L = 2π × f × L
5. X_L = 2π × 1000 × 0.01 = 62.83 Ω

Visual Representation

This visual shows the relationship between frequency and reactance for an inductor. As frequency increases, inductive reactance increases linearly.