1. What is Inductive Reactance?

Inductive reactance (X_L) is the opposition that an inductor offers to alternating current due to its inductance. It is measured in ohms (Ω) and increases with both frequency and inductance.

2. How Does the Calculator Work?

The calculator uses the inductive reactance formula:

Where:

• \( X_L \) — Inductive reactance (Ω)
• \( f \) — Frequency (Hz)
• \( L \) — Inductance (H)
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula shows that inductive reactance is directly proportional to both frequency and inductance. As either increases, the opposition to AC current flow increases.

3. Importance of Inductive Reactance Calculation

Details: Calculating inductive reactance is essential for designing and analyzing AC circuits, particularly in filters, transformers, and inductive load applications. It helps determine how inductors will behave in AC circuits and is crucial for impedance matching and resonance calculations.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz) and inductance in henries (H). Both values must be positive numbers. The calculator will compute the inductive reactance in ohms (Ω).

5. Frequently Asked Questions (FAQ)

Q1: Why does inductive reactance increase with frequency?
A: Inductive reactance increases with frequency because a higher frequency means the current is changing more rapidly, which induces a greater opposing voltage in the inductor according to Faraday's law of induction.

Q2: What is the difference between inductive reactance and resistance?
A: Resistance opposes both DC and AC current equally and dissipates energy as heat. Inductive reactance only opposes AC current, stores energy in a magnetic field, and doesn't dissipate power.

Q3: How does inductive reactance affect phase relationships?
A: In an ideal inductor, the voltage leads the current by 90 degrees. This phase shift is a key characteristic of inductive reactance in AC circuits.

Q4: What happens to inductive reactance at DC (0 Hz)?
A: At DC (0 Hz), inductive reactance becomes zero because there's no changing current to oppose. An ideal inductor acts as a short circuit to DC current.

Q5: How is inductive reactance used in practical applications?
A: Inductive reactance is utilized in various applications including AC filters (low-pass, high-pass), transformers, motors, and in resonant circuits where it combines with capacitive reactance.