1. What is Impedance of Series Inductor and Resistor?

The impedance (Z) of a series inductor and resistor circuit represents the total opposition to current flow, combining both resistance (R) and inductive reactance (X_L). It's a complex quantity with both magnitude and phase.

2. How Does the Calculator Work?

The calculator uses the impedance equation:

Where:

• \( Z \) — Impedance (Ω)
• \( R \) — Resistance (Ω)
• \( f \) — Frequency (Hz)
• \( L \) — Inductance (H)
• \( \pi \) — Pi constant (~3.14159)

Explanation: The equation combines the resistive and reactive components using the Pythagorean theorem, as they are 90° out of phase with each other.

3. Importance of Impedance Calculation

Details: Calculating impedance is crucial for designing and analyzing AC circuits, determining voltage drops, current flow, and power dissipation in RL circuits.

4. Using the Calculator

Tips: Enter resistance in ohms (Ω), frequency in hertz (Hz), and inductance in henries (H). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between impedance and resistance?
A: Resistance opposes DC current, while impedance opposes AC current and includes both resistance and reactance components.

Q2: How does frequency affect impedance?
A: Higher frequencies increase the inductive reactance (X_L = 2πfL), thus increasing the total impedance.

Q3: What happens at DC (0 Hz)?
A: At DC, the inductor acts as a short circuit (X_L = 0), so impedance equals just the resistance (Z = R).

Q4: What is the phase angle in this circuit?
A: The phase angle θ = arctan(X_L/R), where current lags voltage by θ degrees.

Q5: Can this be used for parallel RL circuits?
A: No, this equation is specifically for series RL circuits. Parallel circuits use a different impedance formula.