Convert Hz to volts for a frequency-to-voltage converter from its gain and optional offset, or convert volts to Hz and solve for the gain or offset.

Volts out per hertz in, from your converter’s datasheet or calibration (the article’s LM2907 example is 2.09 V/kHz).

Voltage offset
Blank means 0 V.

Hz To Voltage Formula

This calculator models a calibrated linear frequency-to-voltage converter with positive gain. Frequency alone does not determine voltage.

Vₒut = V₀ + k f

Variables:

  • V_out is the output voltage (V).
  • f is input frequency (Hz).
  • k is calibrated conversion gain (V/Hz).
  • V_0 is the zero-frequency offset (V).

Multiply frequency by calibrated gain, then add the offset. Circuit-specific gains depend on the device and its configuration; there is no universal resistance-capacitance factor. Check supply rails, bandwidth and saturation in the manufacturer’s datasheet.

Illustrative Frequency-to-Voltage Table (gain = 2.09 V/kHz, offset = 0 V)
Frequency (Hz) Output Voltage (V)
10.002
50.010
100.021
200.042
500.105
1000.209
2000.418
2500.523
5001.045
7501.568
1,0002.090
1,5003.135
2,0004.180
2,5005.225
3,0006.270
4,0008.360
5,00010.450
6,00012.540
8,00016.720
10,00020.900
* Rounded to 3 decimals. Illustrative linear gain k = 0.00209 V/Hz and zero offset; not a guaranteed device output. Actual output is limited by hardware and operating conditions.

What is Hz To Voltage?

Hz to Voltage is a conversion process often used in electronic devices and signal processing. Hz, or hertz, is a unit of frequency that measures the number of cycles per second. Voltage, on the other hand, is a measure of electrical potential difference between two points in a circuit. Therefore, converting Hz to Voltage involves translating a frequency signal into a corresponding voltage level. This is typically done using a frequency-to-voltage converter circuit.

How to Calculate Hz To Voltage?

Use the calibrated transfer equation V_out = V_0 + kf. For example, the TI LM2907 family has a circuit-specific gain involving supply voltage and external components; use the relevant manufacturer datasheet.

  1. First, determine the frequency (Hz).
  2. Determine calibrated conversion gain k in V/Hz.
  3. Determine offset V_0 in volts, or use zero if appropriate.
  4. Calculate V_out = V_0 + kf in volts.
  5. Finally, calculate the Hz To Voltage.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

frequency (Hz) = 50

conversion gain k = 0.1 V/Hz

offset V_0 = 0.001 V; output = 0.001 + 0.1 × 50 = 5.001 V.