electric potential converter
Convert electric potential and voltage across Volts, Millivolts, Kilovolts, Megavolts, and Statvolts for electronic circuit engineering.
Unit ConvertersOmni-Grid
Calculate from Energy & Charge (V = W/Q)
Calculate from Current & Resistance (V = I × R)
How to Use the Electric Potential Converter
Step-by-step guide to converting voltage units, calculating with physical formulas, and understanding real-world potential scales.
Enter Voltage in Any Unit
Type a value into any field: Volts (V), Millivolts (mV), Kilovolts (kV), Megavolts (MV), Microvolts (µV), Statvolts, or Abvolts.
Instant Multi-Unit Synchronization
All equivalent units across SI and CGS systems update synchronously in real time (e.g., 1 statV ≈ 299.79 V, 1 V = 10⁸ abV).
Identify Real-World Voltage Benchmarks
Check the contextual badge to identify common benchmarks: neuron resting potential (-70 mV), USB logic (3.3V/5V), car battery (12V), or transmission lines (≥100 kV).
Calculate via Energy & Charge (V = W / Q)
Enter work in Joules and charge in Coulombs in the physics calculator to determine the corresponding electric potential.
Calculate via Ohm's Law (V = I × R)
Input electric current in Amperes and resistance in Ohms to compute the exact voltage drop across the circuit.
Toggle Formatting & Export
Switch between Engineering Notation and Standard Decimal, then click Copy Engineering Data to copy all converted values.
Frequently Asked Questions
Physical definitions, unit conversions, Ohm's law, and practical voltage scales.
Q:What is electric potential and how does it relate to voltage and EMF?
Electric potential (V) is the amount of potential energy per unit electric charge at a point in an electric field. Voltage is the difference in electric potential (ΔV) between two points, representing the work done to move a unit charge between them. Electromotive force (EMF) is the maximum potential difference supplied by an active energy source (such as a battery or generator) under zero-load conditions.
Q:What are Statvolts (statV) and Abvolts (abV), and how do they convert to Volts?
Statvolts and Abvolts belong to the CGS (centimeter-gram-second) system. 1 Statvolt (electrostatic unit, esu) equals exactly 299.792458 Volts (~300 V), related to the speed of light. 1 Abvolt (electromagnetic unit, emu) equals 10⁻⁸ Volts (10 nanovolts), meaning 1 Volt equals 100,000,000 (10⁸) abvolts. They appear in theoretical electrodynamics and plasma astrophysics.
Q:Why is 1 Volt defined as 1 Joule per Coulomb (V = W / Q)?
By international SI definition, 1 Volt is the potential difference between two points when 1 Joule of energy is dissipated or required to move 1 Coulomb of electric charge from one point to the other (1 V = 1 J/C). This fundamental relationship links mechanics and thermodynamics directly to electrostatics.
Q:How does Ohm's law determine voltage from current and resistance (V = I × R)?
Ohm's law states that for an ohmic conductor at constant temperature, the electric potential difference across it is directly proportional to the current flowing through it: V = I × R. If a current of 2 Amperes flows through a 50-Ohm resistor, the voltage drop across the component is 2 A × 50 Ω = 100 Volts.
Q:Why is the resting potential of a human neuron negative (-70 mV)?
A resting neuron maintains an electrical potential of approximately -70 millivolts (-0.07 V) across its cell membrane because the sodium-potassium pump (Na⁺/K⁺-ATPase) expels 3 Na⁺ ions for every 2 K⁺ ions admitted, leaving an excess of negative organic anions inside the intracellular fluid compared to the outside.
Q:What are typical voltage levels in modern technology and power grids?
Modern computer processors operate at 0.8V to 1.3V; USB and microcontroller logic use 3.3V or 5V; automotive electrical systems use 12V or 48V; household wall outlets provide 120V (North America) or 230V (Europe); and long-distance transmission grids operate at 110 kV, 220 kV, 400 kV, and up to 1.1 MV.
Q:Does high voltage kill, or is electrical current the dangerous factor?
Current through vital organs (particularly the heart) causes electrical injury and ventricular fibrillation (currents as low as 50-100 mA can be fatal). However, voltage is the driving pressure that overcomes skin resistance (I = V/R). High static voltages (e.g., 20,000 V on a carpet) carry negligible charge and energy, whereas lower voltages (e.g., 120V/230V) with high available current can be lethal.
- V: Electric Potential (Volts).
- W: Work / Energy (Joules).
- q: Test Charge (Coulombs).
- k: Coulomb's Constant (8.99 × 109 N·m²/C²).
- Q: Source Charge (Coulombs).
- r: Distance (meters).
Electric potential converter Table
| Unit | Volt (V) | kV | mV | μV |
|---|---|---|---|---|
| 1 Volt (V) | 1 | 0.001 | 1,000 | 1,000,000 |
| 1 kV | 1,000 | 1 | 1,000,000 | 1,000,000,000 |
| 1 mV | 0.001 | 0.000001 | 1 | 1,000 |
| 1 μV | 0.000001 | 0.000000001 | 0.001 | 1 |
What is electric potential converter?
| Interface Element | Electrical Function | Practical Application |
|---|---|---|
| Omni-Grid | Matrix Conversion | Instantly translates a single voltage input into all major sub-units and theoretical physics units (Statvolts/Abvolts). |
| Standard Decimal | Data Formatting | Toggles the display format to cleanly present highly complex or microscopic numerical values. |
| Calculate from Energy & Charge | Theoretical Derivation | Finds the voltage by dividing the total work/energy in Joules by the charge in Coulombs. |
| Calculate from Current & Resistance | Ohm's Law Application | Derives the voltage drop across a component based on its resistance and the current flowing through it. |