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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
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
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)
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.
Experiment with different charge configurations and electric field patterns using the interactive Charges and Fields simulation.
This video explains how to calculate the electric field of a point charge and how to interpret electric-field maps in general. Note that the lecturer uses d for the distance between particles instead of r .
In order to calculate the electric field created by a continuous charge distribution we must break the charge into a number of small pieces dq, each of which create an electric field dE. For example, if the charge is to be broken into point charges, we can write: G G. = ∫ = d E. 4 πε ∫. 0. dq. r ˆ. 2 r. where r is the distance from dq vector.
