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Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge; Describe line charges, surface charges, and volume charges; Calculate the field of a continuous source charge distribution of either sign
- 5.3: Charge Distributions
Imagine that charge is distributed over a surface. Let Δq be...
- 6.4: Applying Gauss’s Law
As examples, an isolated point charge has spherical...
- 5.3: Charge Distributions
16 Αυγ 2023 · Charges can distribute themselves on a line with line charge density \(\lambda\) (coul/m), on a surface with surface charge density \(\sigma\) (coul/m 2) or throughout a volume with volume charge density \(\rho\) (coul/m 3)
Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge; Describe line charges, surface charges, and volume charges; Calculate the field of a continuous source charge distribution of either sign
Imagine that charge is distributed over a surface. Let Δq be the total charge on a small patch on this surface, and let Δs be the area of this patch. The surface charge density ρs at any point on the surface is defined as ρs ≜ lim Δs → 0Δq Δs = dq ds which has units of C/m 2.
Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge; Describe line charges, surface charges, and volume charges; Calculate the field of a continuous source charge distribution of either sign
As examples, an isolated point charge has spherical symmetry, and an infinite line of charge has cylindrical symmetry. Choose a Gaussian surface with the same symmetry as the charge distribution and identify its consequences. With this choice, →E ⋅ ˆn is easily determined over the Gaussian surface.
Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge; Describe line charges, surface charges, and volume charges; Calculate the field of a continuous source charge distribution of either sign