RL Circuit Calculator

Calculate Impedance, Phase Angle, and Inductive Reactance instantly.

Reactance (XL) 0 Ω
Impedance (Z) 0 Ω
Phase Angle (φ)
Time Constant (τ) 0 ms

Understanding RL Circuits

An RL circuit (Resistor-Inductor circuit) is one of the foundational building blocks in electronic engineering and electrical physics. It consists of a resistor and an inductor connected in series or parallel, driven by a voltage or current source. This RL circuit calculator online helps you determine how the circuit behaves under specific frequencies and component values.

Key Formulas Used

Our calculator utilizes standard physics equations to provide accurate results:

  • Inductive Reactance (XL): XL = 2 π f L
  • Total Impedance (Z): Z = √(R² + XL²)
  • Phase Angle (φ): φ = arctan(XL / R)
  • Time Constant (τ): τ = L / R

How to Use This Tool

Using the RL Circuit Calculator is straightforward. Simply follow these steps:

  1. Enter the Resistance value in Ohms (Ω).
  2. Enter the Inductance value. Note that our tool assumes input in millihenrys (mH).
  3. Input the Frequency of the AC signal in Hertz (Hz).
  4. Click "Calculate Parameters" to see the result for Reactance, Impedance, Phase shift, and the circuit's Time Constant.

Frequently Asked Questions

What is the Phase Angle? In an RL circuit, the current lags behind the voltage. The phase angle represents the degree of this lag, ranging between 0 and 90 degrees depending on the ratio of inductance to resistance.

Why is Impedance different from Resistance? Resistance is a static measure against current flow. Impedance (Z) accounts for both the resistance (R) and the frequency-dependent reactance (XL) provided by the inductor.

What is the Time Constant? For DC RL circuits, the time constant (τ) determines how long it takes for the current to reach approximately 63.2% of its maximum value after a change in voltage.