Charge Density Calculator

The Charge Density Calculator will calculate the:

Linear charge density of a conducting wire
Area charge density of a conducting wire
Volume charge density of a conducting wire

Calculator Settings: Medium is considered as uniform; the wire is considered at the same thickness everywhere.

Charge Density Calculator
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Calculator Precision (Decimal Places)
Electric charge (Q) C
Length of conducting wire (L) m
Diameter of wire (d) m
Archimedes constant (π)

Charge Density Calculator Results (detailed calculations and formula below)
Linear charge density of a conducting wire calculation
The linear charge density of a conducting wire is C/m [Coulomb per metre]
The area charge density of a conducting wire is C/m² [Coulomb per square metre]
The volume charge density of a conducting wire is C/m³ [Coulomb per cubic metre]
λ = Q/L λ = / λ =
Area charge density of a conducting wire calculation
σ = 2Q/πd × (d + 2L) σ = **2 × / × × ( + (2 × ))** σ = / × × ( + ) σ = / × × σ = / σ =
Volume charge density of a conducting wire calculation
ρ = 4Q/πd² × L ρ = **4 × / × ² ×** ρ = / × × ρ = / ρ =
Charge Density Calculator Input Values
Electric charge (Q) C [Coulomb]
Length of conducting wire (L) m [metre]
Diameter of wire (d) m [metre]
Archimedes constant (π)

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each charge density calculation, the Charge Density Calculator will automatically calculate the results and update the Physics formula elements with each element of the charge density calculation. You can then email or print this charge density calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Charge Density. This image shows the properties and charge density formula for the Charge Density. The Charge Density Calculator calculates the linear charge density of a conducting wire, the area charge density of a conducting wire and the volume charge density of a conducting wire

Linear charge density Formula and Calculation

λ = Q/L

Area charge density Formula and Calculation

σ = 2Q/πd × (d + 2L)

This formula derives from

σ = Q/2πR × (R+h)

where R = d/2 is the radius of cylinder base and h is the height of cylinder (in this instance, it is denoted by L).

Volume charge density Formula and Calculation

ρ = 4Q/πd² × L

This formula derives from

ρ = Q/πR² × h

Electrodynamics Physics Tutorials associated with the Charge Density Calculator

The following Physics tutorials are provided within the Electrodynamics section of our Free Physics Tutorials. Each Electrodynamics tutorial includes detailed Electrodynamics formula and example of how to calculate and resolve specific Electrodynamics questions and problems. At the end of each Electrodynamics tutorial you will find Electrodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Electrodynamics and test your knowledge of Physics by answering the test questions on Electrodynamics.

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