Electric Potential Converter
Convert between electric potential (voltage) units including Volts, millivolts, kilovolts, and more.
1 V =
1,000
Millivolts (mV)
1 V in all units
Quick Reference
1 Volt
= 1000 mV
1 kV
= 1000 V
Symbol
V or U (voltage)
Ohms Law
V = I * R
What is Electric Potential?
Electric potential, commonly referred to as voltage, is the amount of electric potential energy per unit charge at a point in an electric field. It represents the work required to move a positive test charge from a reference point (usually infinity or ground) to that specific location. Electric potential is a scalar quantity, making it simpler to work with than vector field quantities in many practical situations.
Voltage is the driving force behind electric current. Just as water flows from high pressure to low pressure, electric current flows from high potential to low potential. A battery creates a potential difference (voltage) between its terminals, and this potential difference drives current through an external circuit, delivering energy to lights, motors, and electronic devices.
Electric potential is measured in Volts (V) in the SI system, named after Alessandro Volta, the Italian physicist who invented the first chemical battery in 1800. One Volt is defined as one Joule of energy per Coulomb of charge. The relationship between voltage, current, and resistance is described by Ohm's Law: V = I × R.
Understanding electric potential is essential for circuit design, power systems, battery technology, and semiconductor physics. Whether you are designing a low-voltage sensor circuit or a high-voltage power transmission system, accurate voltage measurements and conversions are fundamental to electrical engineering.
The Electric Potential Conversion Formula
Converting between voltage units uses a straightforward factor-based multiplication approach. Each unit has a defined relationship to the base unit, the Volt. To convert from one unit to another, multiply by the appropriate conversion factor ratio.
Electric Potential Unit Conversion
Where:
- V_source= Voltage value in the source unit
- factor_source= Conversion factor from the source unit to Volts
- factor_target= Conversion factor from the target unit to Volts
- V_target= Resulting voltage in the target unit
Common Voltage Units
Voltage is measured in various units across different scales and applications:
- Volts (V): The SI unit for electric potential. Used in everyday electronics, household wiring, and automotive systems.
- Millivolts (mV): One thousandth of a Volt. Common in sensor outputs, audio signals, and low-voltage electronics.
- Microvolts (µV): One millionth of a Volt. Used in precision instrumentation and biological signal measurements (EEG, ECG).
- Nanovolts (nV): One billionth of a Volt. Found in ultra-low-noise amplifier circuits and fundamental physics experiments.
- Kilovolts (kV): One thousand Volts. Used in power transmission, X-ray equipment, and high-voltage testing.
- Megavolts (MV): One million Volts. Encountered in particle accelerators, lightning, and ultra-high-voltage research.
- Abvolts (abV): The CGS electromagnetic unit, equal to 10⁻⁸ Volts.
- Statvolts (statV): The CGS electrostatic unit, approximately 299.79 Volts.
How to Use This Calculator
Follow these steps to convert between electric potential units:
- Enter the value: Type the numerical voltage value you want to convert into the input field.
- Select the source unit: Choose the unit you are converting from using the "From" dropdown. Options include Volts, millivolts, microvolts, nanovolts, kilovolts, megavolts, and more.
- Select the target unit: Choose the unit you want to convert to using the "To" dropdown menu.
- Read the result: The converted value appears instantly. Use the swap button to reverse the conversion direction.
- View all conversions: The calculator shows your value in every available unit simultaneously for easy comparison.
Real-World Applications
Voltage measurements and conversions are fundamental to virtually all electrical and electronic systems. In household electronics, USB devices operate at 5V, while modern smartphones use internal voltages ranging from 3.3V to 4.2V for their batteries and processors. Automotive systems use 12V (or 48V in hybrid vehicles) for their electrical systems.
Power transmission systems operate at high voltages to minimize energy losses during long-distance transmission. Typical transmission voltages range from 115 kV to 765 kV, while distribution systems step these down to 4 kV to 34.5 kV before final transformation to household voltages of 120V or 240V.
Medical devices require precise voltage measurements. Electrocardiogram (ECG) signals are typically 1-3 mV, while electroencephalogram (EEG) signals are even smaller at 10-100 µV. These tiny voltages must be amplified with extreme precision, requiring careful attention to noise and interference.
In semiconductor physics, transistor threshold voltages, supply voltages, and signal levels are critical parameters that determine circuit performance. As technology scales to smaller dimensions, operating voltages continue to decrease, making millivolt and microvolt accuracy increasingly important.
Worked Examples
Converting Volts to Millivolts
Problem:
A sensor outputs a signal of 0.035 Volts. How many millivolts is this?
Solution Steps:
- 1Identify the conversion factor: 1 V = 1000 mV
- 2Multiply the value by the factor: 0.035 × 1000
- 3Calculate the result: 35 mV
Result:
0.035 V equals 35 mV
Converting Kilovolts to Volts
Problem:
A power distribution transformer outputs 13.8 kV. Convert this to Volts.
Solution Steps:
- 1Identify the conversion factor: 1 kV = 1000 V
- 2Multiply: 13.8 × 1000
- 3Calculate: 13,800 V
Result:
13.8 kV equals 13,800 V
Converting Microvolts to Nanovolts
Problem:
An EEG signal measures 45 µV. Express this in nanovolts.
Solution Steps:
- 1Identify the conversion factor: 1 µV = 1000 nV
- 2Multiply: 45 × 1000
- 3Calculate: 45,000 nV
Result:
45 µV equals 45,000 nV
Tips & Best Practices
- ✓Remember that 1 V = 1000 mV = 1,000,000 µV — these are common conversion factors.
- ✓Use mV for sensor outputs and audio signals, kV for power systems.
- ✓Always verify the voltage rating of components before connecting them to a circuit.
- ✓Use Ohm's Law (V = IR) to estimate voltage drops across resistors.
- ✓Household outlets are either 120V or 240V depending on your country.
- ✓In battery-powered devices, voltage decreases as the battery discharges.
Frequently Asked Questions
Sources & References
- NIST - SI Derived Units: Volt (2024)
- HyperPhysics - Voltage (2024)
- Wikipedia - Volt (2024)
Last updated: 2026-06-06
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: NIST Guide to SI Units
by National Institute of Standards