Convert energy in electronvolts (eV) to electric potential in volts (V). This calculator assumes the charge of a single electron:
1 eV = 1.602176634 × 10⁻¹⁹ joules.
Formula:
V = E / q1.602176634 × 10⁻¹⁹ CThe eV to Volts Calculator is a valuable tool for physicists, engineers, electronics students, and anyone working with subatomic energy levels or electrical systems. Electronvolts (eV) and volts (V) are fundamental units in physics and electronics, yet they measure different things. This calculator simplifies the complex process of converting energy units (eV) into electrical potential (V) using elementary charge concepts.
An electronvolt (eV) is a unit of energy commonly used in atomic and particle physics. It is defined as the amount of kinetic energy gained or lost by an electron when it is accelerated through an electric potential difference of one volt. One electronvolt is equal to:
1 eV = 1.602 × 10-19 joules (J)
A volt is the SI unit of electric potential or electromotive force. One volt is defined as the difference in electric potential between two points of a conductor when a current of one ampere dissipates one watt of power between those points.
Though both units involve electricity, they are fundamentally different:
To convert between the two, you must involve the **elementary charge (e)**, which is:
e = 1.602176634 × 10-19 coulombs
The conversion depends on the amount of charge involved:
Voltage (V) = Energy (eV) / Charge (C)
For a single elementary charge (1e), the formula becomes:
1 eV = 1 volt
However, when multiple electrons or charges are involved, you can generalize the formula as:
V = eV / (n × e)
where n = number of charges and e = 1.602 × 10-19 C
V = 5 eV / (1 × 1.602×10⁻¹⁹ C) = 5 Volts
V = 10 / (2 × 1.602×10⁻¹⁹) ≈ 3.12 × 10¹⁹ V
| Electronvolts (eV) | Volts (V) |
|---|---|
| 1 eV | 1 V |
| 5 eV | 5 V |
| 10 eV | 10 V |
| 100 eV | 100 V |
| 1,000 eV | 1,000 V |
This calculator uses the standard value of elementary charge and performs precise floating-point division to ensure scientific accuracy. It's suitable for educational use, laboratory estimations, and real-world engineering calculations.
These larger energy units follow simple multipliers:
Convert to volts by applying: Volts = eV / e (elementary charge)
Q: Can this calculator convert negative eV values?
A: Yes, negative eV indicates loss of energy and is valid in many physics contexts.
Q: Is 1 eV always equal to 1 volt?
A: Only when applied to one elementary charge (one electron). For different charges, voltage differs.
Q: Is this tool useful for chemistry?
A: Yes. Chemists often use eV to describe ionization energies and bond breaking processes.
The eV to Volts Calculator is a precise, fast, and educational tool that bridges the gap between energy and voltage. Whether you're exploring atomic structures, analyzing electron movement, or solving exam problems, this calculator provides quick, reliable results. With support for single or multiple charges, it's ideal for both classroom use and lab environments.
Bookmark this page for future conversions and simplify your scientific journey today!
When a single electron moves through an electric potential difference of 1 volt, it gains or loses 1 electronvolt of energy. This fundamental relationship gives rise to the simplified equation:
1 eV = 1 V × 1 e (elementary charge)
In this case, the elementary charge (e) cancels out when used on both sides of the formula, meaning the voltage across which the electron is accelerated directly reflects its energy gain in electronvolts. But if the charge quantity differs from that of a single electron, the resulting voltage also changes proportionally.
The elementary charge, symbolized as e, is a physical constant equal to approximately 1.602176634 × 10−19 coulombs. This is the amount of charge carried by a single proton (positive) or the negative of it by a single electron.
This value plays a central role in many areas of physics and is essential in converting between energy and potential difference. Without this constant, the units of eV and volts would not be interconvertible.
V = (eV in joules) / (charge in coulombs)V = eV / e = numeric equivalenceThis calculator is not just theoretical — it plays a critical role in many practical fields:
Both eV and volts relate closely to the SI unit of energy, the joule (J), but in different ways:
To convert from eV to joules, multiply by the charge:
Energy (J) = eV × 1.602 × 10⁻¹⁹
And to go from volts to joules, use:
Energy (J) = Volts × Coulombs
Physics and electronics courses frequently involve calculations that link subatomic particles and electrical fields. The eV to Volts Calculator simplifies this step, helping learners:
While volts are the more common unit in everyday electronics, engineers designing at the nanoscale — such as in integrated circuits or photodetectors — frequently use eV to describe band gaps or transition states. Here's how the calculator assists in such use cases:
The following quick tips will help with related conversions:
Here’s a simple classroom exercise using this calculator:
eV × 1.602 × 10⁻¹⁹Q: Can I convert 500 keV to volts?
A: Yes. First convert 500 keV = 500,000 eV. Then divide by the elementary charge (e) to get volts for the given charge.
Q: Are eV and volts interchangeable in all contexts?
A: No. eV is a unit of energy; volts is a unit of electric potential. They are related only through charge. Use this calculator to apply the correct relationship.
Q: How do I convert volts to eV manually?
A: Use the formula: eV = V × Charge in Coulombs. For one electron, multiply the voltage by 1.602 × 10⁻¹⁹ to get joules, then convert to eV.
The eV to Volts Calculator is more than just a number converter — it’s a knowledge enabler for academics, professionals, and learners working at the intersection of energy and electricity. Whether you're diving into the quantum world, building ultra-low voltage devices, or simply preparing for exams, this tool provides immediate clarity and accuracy.
Bookmark this calculator and include it in your physics or engineering toolkit for dependable results, real-world relevance, and precise conversions — every time.