Voltage from Frequency Calculator Formula

Voltage Formula:

\[ V = 2 \times \pi \times f \times L \times I \]

Voltage (V):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Voltage from Frequency Calculator?

Definition: This calculator estimates the voltage induced in an inductor based on frequency, inductance, and current.

Purpose: It helps electrical engineers and technicians determine the voltage across an inductor in AC circuits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = 2 \times \pi \times f \times L \times I \]

Where:

\( V \) — Voltage (volts)
\( \pi \) — Mathematical constant (~3.14159)
\( f \) — Frequency (hertz)
\( L \) — Inductance (henries)
\( I \) — Current (amperes)

Explanation: The formula calculates the voltage across an inductor in an AC circuit, which depends on how quickly the current is changing (frequency) and the inductor's opposition to current change (inductance).

3. Importance of Voltage Calculation

Details: Accurate voltage calculation is crucial for circuit design, component selection, and ensuring proper operation of electrical systems.

4. Using the Calculator

Tips: Enter the frequency in Hz, inductance in H (henries), and current in A (amperes). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is inductive reactance?
A: Inductive reactance (X_L) is the opposition to current change in an inductor, calculated as \( X_L = 2 \pi f L \).

Q2: Does this formula work for DC circuits?
A: No, in DC circuits with steady current, the voltage across an ideal inductor is zero (no changing current).

Q3: What's a typical inductance value?
A: Inductance varies widely from microhenries (μH) for small coils to henries (H) for large transformers.

Q4: How does frequency affect the voltage?
A: Higher frequencies result in higher voltages across the inductor for the same current.

Q5: Is this the peak or RMS voltage?
A: This calculates the peak voltage. For RMS voltage, divide by √2 (about 1.414).