# Charge Density Calculator

The Charge Density Calculator will calculate the:

1. Linear charge density of a conducting wire
2. Area charge density of a conducting wire
3. Volume charge density of a conducting wire

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

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Electric charge (Q) C Length of conducting wire (L) m Diameter of wire (d) m Archimedes constant (π)
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/Lλ = /λ = σ = 2Q/πd × (d + 2L)σ = 2 × / × × ( + (2 × ))σ = / × × ( + )σ = / × × σ = /σ = ρ = 4Q/πd2 × Lρ = 4 × / × 2 × ρ = / × × ρ = /ρ = 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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Section 15: Electrodynamics

Section 19: Modern Physics

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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