Electrical Unit Converter

Convert between electrical units — volts, amps, watts, ohms, farads, and more.

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  2. Type a value into any unit field — all other units update instantly.
  3. Tap Copy next to any field to grab that converted value.
Picocoulomb pC
Nanocoulomb nC
Microcoulomb μC
Millicoulomb mC
Coulomb C
Kilocoulomb kC
Milliampere-hour mAh
Ampere-hour Ah

INFO Electric charge is a fundamental property of matter that causes it to experience electromagnetic forces. The SI unit is the coulomb, equal to the charge carried by approximately 6.24 × 10¹⁸ electrons.

Charles-Augustin de Coulomb published his law of electrostatic force in 1785, measuring the force between charged objects with a torsion balance he designed himself.

Nanocoulomb per metre nC/m
Microcoulomb per metre μC/m
Millicoulomb per metre mC/m
Coulomb per metre C/m
Coulomb per kilometre C/km
Coulomb per centimetre C/cm
Coulomb per millimetre C/mm

INFO Linear charge density is the electric charge distributed per unit length along a line or wire, measured in coulombs per metre (C/m). It is used when modelling the fields around charged conductors.

The concept became important in the 19th century as physicists developed mathematical tools to model electric fields around the charged wires used in early telegraph systems.

Nanocoulomb per sq metre nC/m²
Microcoulomb per sq metre μC/m²
Millicoulomb per sq metre mC/m²
Coulomb per sq metre C/m²
Coulomb per sq centimetre C/cm²
Coulomb per sq millimetre C/mm²

INFO Surface charge density is the electric charge per unit area on a surface, measured in coulombs per square metre (C/m²). It is used when analysing capacitor plates and charged membranes.

Surface charge density became a key quantity following the invention of the Leyden jar in the 1740s, the first practical device for storing electric charge.

Nanocoulomb per cubic metre nC/m³
Microcoulomb per cubic metre μC/m³
Millicoulomb per cubic metre mC/m³
Coulomb per cubic metre C/m³
Coulomb per litre C/L
Coulomb per cubic centimetre C/cm³
Coulomb per cubic millimetre C/mm³

INFO Volume charge density describes how electric charge is distributed throughout a three-dimensional region, measured in coulombs per cubic metre (C/m³). It appears in semiconductor physics and plasma modelling.

Carl Friedrich Gauss formulated Gauss's law around 1835, relating the volume charge density inside a closed surface to the total electric flux through it.

Nanoampere nA
Microampere μA
Milliampere mA
Ampere A
Kiloampere kA

INFO Electric current is the rate at which charge flows past a point in a conductor. The SI unit is the ampere, defined since 2019 as an exact number of elementary charges per second.

Andre-Marie Ampere developed the mathematical theory of electrodynamics in the 1820s, showing that parallel wires carrying current attract or repel each other depending on current direction.

Milliampere per metre mA/m
Ampere per metre A/m
Kiloampere per metre kA/m
Ampere per centimetre A/cm
Ampere per millimetre A/mm

INFO Linear current density is the electric current per unit width flowing along a thin conducting sheet, measured in amperes per metre (A/m). It appears in magnetic field analysis and thin-film device modelling.

The concept emerged from Maxwell's electromagnetic field theory in the 1860s, which required precise treatment of surface currents to model electromagnetic wave propagation.

Milliampere per sq metre mA/m²
Ampere per sq metre A/m²
Kiloampere per sq metre kA/m²
Ampere per sq centimetre A/cm²
Ampere per sq millimetre A/mm²

INFO Surface current density is the electric current per unit cross-sectional area inside a conductor, measured in amperes per square metre (A/m²). It determines how current distributes in real conductors.

James Clerk Maxwell included surface current density in his equations of electromagnetism in 1865, and the concept became essential for explaining eddy currents in transformer cores.

Millivolt per metre mV/m
Volt per metre V/m
Newton per coulomb N/C
Kilovolt per metre kV/m
Megavolt per metre MV/m
Volt per centimetre V/cm
Volt per millimetre V/mm
Kilovolt per centimetre kV/cm

INFO Electric field strength is the force experienced by a positive unit charge at a point in space. The SI unit is volts per metre (V/m), equivalent to newtons per coulomb (N/C).

Michael Faraday introduced the concept of a field in the 1830s as a way to describe the influence a charge exerts through space without requiring direct contact.

Nanovolt nV
Microvolt μV
Millivolt mV
Volt V
Kilovolt kV
Megavolt MV

INFO Electric potential is the work needed to move a unit positive charge from a reference point to a given location. The SI unit is the volt, equal to one joule per coulomb.

Alessandro Volta invented the voltaic pile in 1800, the first device capable of producing a sustained electric current. The volt was named in his honour at the First International Electrical Congress in 1881.

Microohm μΩ
Milliohm
Ohm Ω
Kilohm
Megaohm
Gigaohm

INFO Electric resistance is the opposition a material offers to the flow of current. The SI unit is the ohm, defined as the resistance that produces a one-volt drop when one ampere flows through it.

Georg Simon Ohm published Ohm's Law in 1827, showing that current is proportional to voltage and inversely proportional to resistance. He initially faced scepticism from his contemporaries.

Nanoohm-metre nΩ·m
Microohm-metre μΩ·m
Milliohm-metre mΩ·m
Ohm-metre Ω·m
Ohm-centimetre Ω·cm
Ohm-millimetre Ω·mm

INFO Electric resistivity is an intrinsic material property that quantifies how strongly a substance opposes current flow, measured in ohm-metres (Ω·m). It is independent of the sample's shape or size.

Systematic measurement of resistivity across metals and early semiconductor materials in the late 19th century led to the classification of conductors, semiconductors, and insulators.

Nanosiemens nS
Microsiemens μS
Millisiemens mS
Siemens S
Kilosiemens kS
Megasiemens MS

INFO Electric conductance is the ease with which current flows through a component. The SI unit is the siemens (S), defined as the reciprocal of the ohm: one siemens equals one ampere per volt.

The siemens was named for Werner von Siemens, who built long-distance telegraph lines in the 1840s and 1850s and co-founded the engineering company that still bears his name.

Microsiemens per metre μS/m
Millisiemens per metre mS/m
Siemens per metre S/m
Kilosiemens per metre kS/m
Megasiemens per metre MS/m
Siemens per centimetre S/cm

INFO Electric conductivity is the intrinsic ability of a material to conduct current, measured in siemens per metre (S/m). It is the reciprocal of resistivity and spans many orders of magnitude across materials.

The development of quantum mechanics in the 1920s and 1930s explained why conductivity varies so dramatically across materials, laying the groundwork for semiconductor theory and the transistor.

Picofarad pF
Nanofarad nF
Microfarad μF
Millifarad mF
Farad F

INFO Capacitance is the ability of a component to store electric charge. The SI unit is the farad, defined as one coulomb of charge stored per volt of potential difference.

Michael Faraday conducted extensive experiments on electrostatic induction in the 1830s. The farad was named in his honour at the First International Electrical Congress in Paris in 1881.

Picohenry pH
Nanohenry nH
Microhenry μH
Millihenry mH
Henry H
Kilohenry kH

INFO Inductance is the property of a conductor by which a change in current induces an electromotive force. The SI unit is the henry, equal to one volt-second per ampere.

Joseph Henry discovered electromagnetic self-induction independently of Faraday in 1832. The unit was named for him at the International Electrical Congress in Chicago in 1893.

SI electrical base units

The International System defines a small set of electrical quantities that this converter is built around. The ampere (A) is the SI base unit for electric current, fixed since 2018 by the exact value of the elementary charge. The volt (V) measures electric potential difference, the ohm (Ω) measures resistance, the farad (F) measures capacitance, and the henry (H) measures inductance.1 Together these five dimensions cover the quantities you reach for most often when designing or debugging a circuit.

Charge is measured in coulombs (C), which is derived from the ampere: one coulomb equals one ampere flowing for one second. The defining relations C = A·s, V = W/A, and Ω = V/A connect the electrical dimensions so that any unit can be expressed in terms of mass, length, time, and current, which is why a single current value can drive conversions across all of them.1

Practical scale ranges in electronics

Real components operate far below the base-unit scale. Capacitors in RF circuits typically run from 1 pF to a few hundred pF; decoupling caps are 100 nF to 10 μF; bulk storage runs from hundreds of μF into the mF range.2 Copper resistivity is about 16.8 nΩ·m at room temperature, while silicon can range from roughly 0.1 Ω·m to 2.3 kΩ·m depending on purity.34

Recognizing typical scales for each component type

Inductors in electronics are commonly specified in nH, μH, and mH depending on the circuit.5 Knowing these typical ranges helps catch unit errors early, because a wrong prefix almost always points to a scale mismatch rather than a math error. If you calculate an inductance for a 100 MHz filter and get a result in henries rather than nanohenries, something has gone wrong before the conversion step, so pausing to compare the result against the expected order of magnitude is a fast way to sanity-check your work in the middle of a design review.

Resistance vs. resistivity — the material/geometry split

Resistance is a property of a particular component, and its value depends on both the material and the physical dimensions of that piece. Resistivity, by contrast, is an intrinsic property of the material alone and stays the same no matter how you shape it. The two are linked by the relationship R = ρ × L / A, which is why a longer conductor ends up with higher resistance while a thicker one ends up with lower resistance, yet the resistivity of copper holds at about 16.8 nΩ·m at room temperature regardless of the wire gauge you are holding.3

From resistivity to resistance through geometry

This distinction matters whenever you are selecting wire gauges, sizing PCB trace widths, or comparing interconnect materials for a design. You can look up the resistivity of any conductor and then calculate the resistance of any geometry directly from first principles, which is the standard approach for power budget calculations, voltage drop estimates, and trace thermal analysis. Because resistivity stays fixed for a given material while resistance scales with length and cross-section, the same formula lets you predict how a trace or cable will behave before you ever measure it on a bench.

Conductance and conductivity — reciprocal relationships

Conductance (G, siemens) is the reciprocal of resistance, so G = 1/R. Conductivity (σ, S/m) is the reciprocal of resistivity, meaning σ = 1/ρ, and the same geometric link applies through G = σ × A / L. When you place resistances in parallel, their conductances simply add together, which makes conductance the natural quantity for parallel circuit analysis and for the admittance calculations common in RF work.6

A round-number example shows the reciprocal at work. A 100 Ω resistor converts to a conductance of G = 1/100 = 0.01 S, or 10 mS in the converter's milli-prefixed output. Doubling the resistance to 200 Ω halves the conductance to 5 mS, which is exactly the inverse relationship the formula above predicts: enter either value into the Resistance or Conductance dimension above and the converter confirms the other side of the pair instantly.

Where conductivity shows up outside the lab

Conductivity appears in materials science, electrochemistry, and soil testing, often at values that look nothing like a metal conductor. Deionized water sits at about 5.5×10⁻⁶ S/m, drinking water ranges from 0.0005 to 0.05 S/m, seawater lands around 4.5 to 5.5 S/m, and annealed copper reaches roughly 58 MS/m.7 These reference points are useful because they let you sanity-check a measurement: if a supposedly pure water sample reads closer to seawater than to the deionized benchmark, contamination or a probe error is the likely culprit.

That enormous span, from microsiemens per metre for dilute solutions up to megasiemens per metre for metal conductors, is exactly why the converter covers both ends of the scale. Working across materials without switching tools keeps comparative tasks, like ranking insulators against conductors or tracking how a solution changes with concentration, inside a single view.

SI prefixes and the practical electrical scale

The SI prefix system maps electrical units across many orders of magnitude, and choosing the right prefix for a given domain keeps numbers readable. For this converter, common prefixes run from pico (10⁻¹²) to mega (10⁶). Picofarads cover RF bypass capacitors. Microfarads handle decoupling and bulk storage. Milliampere-hours rate battery capacity. Megavolts describe high-voltage transmission lines and lightning discharge. Knowing which prefix belongs to which domain is as useful as knowing the conversion factor itself, because it lets you spot-check results against the expected scale before committing to a design decision.8

A result in the wrong order of magnitude is the most common sign of a unit error. A PCB trace resistance lands in milliohms. When a conversion result surprises you, check the input prefix first, because a factor-of-1000 prefix mistake is far more common than an error in the underlying conversion math, and it takes seconds to identify once you know the expected range for the component type you are working with. Consequently, treating the expected scale as a sanity check is standard practice in hardware design, not just cautious habit.8

Conductivity Reference Table

  • ~5.5×10⁻⁶ S/m
  • 4.5–5.5 S/m
  • ~58 MS/m

Convert your own conductivity reading above and compare it against this scale.

Sources
  1. 1.

    NIST, "SP 330 - Section 2," nist.gov, accessed June 2026. https://www.nist.gov/pml/special-publication-330/sp-330-section-2

  2. 2.

    Ian Poole, "Capacitor Conversion: Table Chart," electronics-notes.com, accessed June 2026. https://www.electronics-notes.com/articles/electronic_components/capacitors/conversion-chart-table.php

  3. 3.

    Electronics Tutorials, "Resistivity and Electrical Conductivity," electronics-tutorials.ws, accessed June 2026. https://www.electronics-tutorials.ws/resistor/resistivity.html

  4. 4.

    Physics LibreTexts, "20.3: Resistance and Resistivity," phys.libretexts.org, accessed June 2026. https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/20%3A_Electric_Current_Resistance_and_Ohm%27s_Law/20.03%3A_Resistance_and_Resistivity

  5. 5.

    Electronics Tutorials, "The Inductor and the Effects of Inductance on a Coil," electronics-tutorials.ws, accessed June 2026. https://www.electronics-tutorials.ws/inductor/inductor.html

  6. 6.

    Physics LibreTexts, "4.5: Conductors in Parallel," phys.libretexts.org, accessed June 2026. https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/04%3A_Batteries_Resistors_and_Ohm%27s_Law/4.05%3A_Conductors_in_Parallel

  7. 7.

    Engineering ToolBox, "Electrical Conductivity - Elements and other Materials," engineeringtoolbox.com, accessed June 2026. https://www.engineeringtoolbox.com/conductors-d_1381.html

  8. 8.

    NIST, "NIST Guide to the SI, Chapter 4: The Two Classes of SI Units and the SI Prefixes," nist.gov, accessed June 2026. https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-4-two-classes-si-units-and-si-prefixes

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