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# Continuous Charge Distribution Assignment Help

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Electrostatics - Continuous Charge Distribution

**Continuous Charge Distribution**

As charge can exist only as integral multiple of basic charge **(e) **therefore; charge distribution is always discrete, on account of atomicity of charge. However, it is impractical to work in terms of discrete charges always. For example, on the surface of a charged conductor we cannot specify the charge distribution in terms of the locations of the microscopic charged constituents. However, we can consider a small area element ** Δ S** on the surface of the conductor; this area element is very small on the macroscopic scale, but big enough to include a very large number of electrons. If ** Δ Q** is the amount of charge on this element, we define surface charge density (σ) at the area element by

**σ =Δ Q / **ΔS

We can repeat the process at different points on the surface of the conductor and thus arrive at a continuous functionσ, called the surface charge density. At the microscopic level, charge distribution is discontinuous, as there are discrete charges separated by intervening space where there is no charge. Therefore, σ represents macroscopic surface charge density which is a smoothed out average of the microscopic charge density over an area element ** Δ S** – which is small macroscopically but large microscopically.

On the same basic when charge is distributed along a line straight or curved, we define linear charge density

Λ = Δ Q / Δ I

Where ?Iis a small line element of wire on the macroscopic scale that includes a large number of microscopic charged constituents and ?Q is the charge contained in that line element. The units of λ are c/m the volume charge density is defined in a similar manner as

**P = Δ Q / Δ V**

Where Δ Q is the charge included in the macroscopically small volume element Δ V that includes a large number of microscopic charged constituents. The units of p are c/m

Note that the notion of continuous charge distribution is similar to the continuous mass distribution in mechanics. For example when we talk of density of a liquid we are referring to its macroscopic density treating it as a continuous fluid and ignoring its discrete molecular constitution.

Continuous Charge Distribution Assignment Help, Continuous Charge Distribution Homework Help, Continuous Charge Distribution Tutors, Continuous Charge Distribution Solutions, Continuous Charge Distribution Tutors, Electrostatics Help, Physics Tutors, Continuous Charge Distribution Questions Answers

**Continuous Charge Distribution**

**(e)**therefore; charge distribution is always discrete, on account of atomicity of charge. However, it is impractical to work in terms of discrete charges always. For example, on the surface of a charged conductor we cannot specify the charge distribution in terms of the locations of the microscopic charged constituents. However, we can consider a small area element

**Δ S**on the surface of the conductor; this area element is very small on the macroscopic scale, but big enough to include a very large number of electrons. If

**Δ Q**is the amount of charge on this element, we define surface charge density (σ) at the area element by

**σ =Δ Q /**ΔS

We can repeat the process at different points on the surface of the conductor and thus arrive at a continuous functionσ, called the surface charge density. At the microscopic level, charge distribution is discontinuous, as there are discrete charges separated by intervening space where there is no charge. Therefore, σ represents macroscopic surface charge density which is a smoothed out average of the microscopic charge density over an area element

**Δ S**– which is small macroscopically but large microscopically.

On the same basic when charge is distributed along a line straight or curved, we define linear charge density

Λ = Δ Q / Δ I

Where ?Iis a small line element of wire on the macroscopic scale that includes a large number of microscopic charged constituents and ?Q is the charge contained in that line element. The units of λ are c/m the volume charge density is defined in a similar manner as

**P = Δ Q / Δ V**

Where Δ Q is the charge included in the macroscopically small volume element Δ V that includes a large number of microscopic charged constituents. The units of p are c/m

Note that the notion of continuous charge distribution is similar to the continuous mass distribution in mechanics. For example when we talk of density of a liquid we are referring to its macroscopic density treating it as a continuous fluid and ignoring its discrete molecular constitution.

Continuous Charge Distribution Assignment Help, Continuous Charge Distribution Homework Help, Continuous Charge Distribution Tutors, Continuous Charge Distribution Solutions, Continuous Charge Distribution Tutors, Electrostatics Help, Physics Tutors, Continuous Charge Distribution Questions Answers