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13 Ιαν 2021 · 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
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.
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.
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)
If we call the total volume of the distribution as V, total volume of distribution, and DV as the volume of incremental charge, which we treat like a point of charge, then we will define volume charge density.
To calculate the electric field at P we first choose coordinate axes. We choose the x axis through the line charge and the y axis through point P as shown. The ends of the charged line segment are labeled x 1 and x 2. A typical charge element dq ldx that produces a field d is shown in the figure. The field at P has both an x and a y component.
