Hz to Volts Calculator
Evaluate output voltage from AC frequencies, winding turns, and peak magnetic flux, or convert output voltage back to frequency. Settle timing constants dynamically.
Frequency to Voltage Converter
How to Use the Hz to Volts Calculator
Converting wave frequency in Hertz (Hz) to output voltage in Volts (V) is direct when coil specifications are available. Follow these steps:
- 1Enter Frequency: Input the frequency value in Hertz (Hz) into the designating field.
- 2Input Turns: Enter the total count of coil winding turns (N).
- 3Enter Magnetic Flux: Provide the peak magnetic flux value in Webers (Wb).
- 4Calculate: Click the "Calculate to Volts" button to run the conversion.
How to Convert Hz to Volts
In electrical engineering and machine design, frequency (Hz) does not directly convert to voltage (V). Instead, they are related through Faraday's Law of Electromagnetic Induction. The induced electromotive force (EMF) or voltage in an AC machine is directly proportional to the rate of change of magnetic flux cutting across the winding turns. A higher frequency increases the rate of change of the field, generating a higher voltage output. Sizing AC alternators, winding turns, and flux limits is critical to keep the magnetic core from saturating.
Real-Life Sizing Scenarios
Scenario 1: Sizing European AC Generator Voltages
An AC generator runs at 50 Hz with 100 turns and a peak magnetic flux of 0.02 Webers. Sizing the induced generator voltage:
Voltage (V) = 4.44 × 50 Hz × 100 turns × 0.02 Wb = 444.00 Volts
Scenario 2: Sizing US Alternator Voltages
An alternator runs at 60 Hz with 120 turns and a peak magnetic flux of 0.015 Webers. Sizing the output voltage:
Voltage (V) = 4.44 × 60 Hz × 120 turns × 0.015 Wb = 479.52 Volts
Step-by-Step Manual Sizing Guide
- 1Identify Parameters: Check frequency (f), winding turns (N), and peak flux (Φ).
- 2Apply Faraday's Equation: Write the generator formula:
V = 4.44 × f × N × Φ. - 3Multiply Values: Settle the voltage result in Volts.
Hz to Volts Conversion Chart
The table below displays standard frequencies in Hertz (Hz) and their equivalent output voltages in Volts (V), assuming a winding of 100 turns and a peak flux of 0.02 Webers:
| Frequency (Hz) | Faraday Formula | Output Voltage (Volts) |
|---|---|---|
| 10 Hz | 4.44 × 10 × 100 × 0.02 | 88.8 V |
| 20 Hz | 4.44 × 20 × 100 × 0.02 | 177.6 V |
| 30 Hz | 4.44 × 30 × 100 × 0.02 | 266.4 V |
| 40 Hz | 4.44 × 40 × 100 × 0.02 | 355.2 V |
| 50 Hz | 4.44 × 50 × 100 × 0.02 | 444.0 V |
| 60 Hz | 4.44 × 60 × 100 × 0.02 | 532.8 V |
| 100 Hz | 4.44 × 100 × 100 × 0.02 | 888.0 V |
60 Hertz to Volts
Sizing the induced output voltage for an alternator operating at 60 Hz with 100 turns and a peak magnetic flux of 0.02 Webers:
Voltage (V) = 4.44 × 60 Hz × 100 turns × 0.02 Wb = 532.80 Volts
50 Hz to Volts
Converting a standard electrical frequency of 50 Hz to its equivalent induced voltage under standard coil specifications (N=100, Φ=0.02 Wb):
Voltage (V) = 4.44 × 50 Hz × 100 turns × 0.02 Wb = 444.00 Volts
220 Volts to Hertz
Determining the target frequency in Hertz matching a target output voltage of 220 Volts with winding specs N=100 and Φ=0.02 Wb:
Frequency (Hz) = 220 ÷ (4.44 × 100 × 0.02) = 24.77 Hz
Volts to Hertz Ratio
The Volts per Hertz ratio (V/Hz ratio) defines the magnetic flux density inside an AC motor or transformer core. Maintaining a constant V/Hz ratio (e.g. 220V at 50Hz = 4.4 ratio) is critical for variable frequency drives (VFDs) to prevent winding overheating and magnetic core saturation during speed adjustments.
Frequently Asked Questions (FAQs)
To convert Hertz to Volts, you must use Faraday's Law of Induction: V = 4.44 × f × N × Φ. This calculation requires the frequency (f), coil winding turns (N), and peak magnetic flux (Φ).
A frequency of 1 Hertz represents exactly one complete cycle or oscillation per second.
A frequency of 60 Hz represents exactly 60 complete wave cycles per second. This is the standard power frequency in North America.
No, the lower limit of human hearing is roughly 20 Hz. A frequency of 1 Hz is an infrasonic wave that cannot be heard, though it can sometimes be felt physically as a physical vibration.
They are different physical quantities. 120 Volts represents the electrical potential difference, and 60 Hz is the alternating frequency rate of the grid. They are related standard US electrical ratings, but they are not equivalent.
In electrical power systems, 60 Hz represents an alternating current (AC) that reverses its direction of flow exactly 120 times (or completes 60 full cycles) every second.
A frequency of 30 Hz means that a cycle or event repeats exactly 30 times per second. In audio, it represents a deep bass sound.
A frequency of 1 Hz falls within the range of delta brainwaves, which are natural slow-frequency waves associated with deep, restorative, and dreamless sleep states.
A frequency of 20,000 Hz (or 20 kHz) is a very high-pitched hiss or squeak that sits at the absolute upper boundary of human hearing, and is often only audible to young children.
Common examples include a clock ticking once per second, a healthy resting human heart rate of 60 beats per minute, or a playground swing completing a single cycle every second.