The Charge Density Calculator will calculate the:
Calculator Settings: Medium is considered as uniform; the wire is considered at the same thickness everywhere.
|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]|
|Linear charge density of a conducting wire calculation|
|λ = Q/L|
λ = /
|Area charge density of a conducting wire calculation|
|σ = 2Q/πd × (d + 2L)|
σ = 2 × / × × ( + (2 × ))
σ = / × × ( + )
σ = / × ×
σ = /
|Volume charge density of a conducting wire calculation|
|ρ = 4Q/πd2 × L|
ρ = 4 × / × 2 ×
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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This formula derives from
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).
This formula derives from
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