Impedance To Inductance Calculator

Inductance Formula:

\[ L = \frac{Z}{2 \pi f} \]

Inductance (L):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Impedance to Inductance Formula?

The impedance to inductance formula calculates the inductance (L) of an inductor from its impedance (Z) and the frequency (f) of the AC signal. This relationship is derived from the fundamental equation for inductive reactance in AC circuits.

2. How Does the Calculator Work?

The calculator uses the inductance formula:

\[ L = \frac{Z}{2 \pi f} \]

Where:

\( L \) — Inductance in henries (H)
\( Z \) — Impedance in ohms (Ω)
\( f \) — Frequency in hertz (Hz)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the inductance value when you know the impedance of an inductor at a specific frequency in an AC circuit.

3. Importance of Inductance Calculation

Details: Accurate inductance calculation is crucial for circuit design, filter implementation, power supply design, and understanding the behavior of inductive components in AC circuits.

4. Using the Calculator

Tips: Enter impedance in ohms and frequency in hertz. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between impedance and resistance?
A: Resistance is the opposition to DC current, while impedance is the total opposition to AC current, which includes both resistance and reactance components.

Q2: Can this formula be used for DC circuits?
A: No, this formula is specifically for AC circuits. In DC circuits, inductors behave differently and their impedance is essentially zero at steady state.

Q3: What are typical inductance values?
A: Inductance values can range from nanohenries (nH) for high-frequency applications to henries (H) for power applications and large inductors.

Q4: Does this formula account for resistance in the inductor?
A: This formula assumes a pure inductor with no resistance. For real inductors with resistance, the calculated value represents the inductive component only.

Q5: How does frequency affect inductance calculations?
A: The relationship is inverse - higher frequencies result in lower calculated inductance values for the same impedance, and vice versa.