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13 Ιαν 2021 · Our first step is to define a charge density for a charge distribution along a line, across a surface, or within a volume, as shown in Figure 1.6.1. Figure 1.6.1: The configuration of charge differential elements for a (a) line charge, (b) sheet of charge, and (c) a volume of charge.
- 5.9: Electric Charges and Fields (Summary) - Physics LibreTexts
A very large number of charges can be treated as a...
- 5.3: Charge Distributions - Physics LibreTexts
The line charge density \(\rho_l\) at any point along the...
- 5.9: Electric Charges and Fields (Summary) - Physics LibreTexts
Learn about concept and derivation of electric field due to finite line charge at equatorial point and electric field due to a line of charge at axial point.
A very large number of charges can be treated as a continuous charge distribution, where the calculation of the field requires integration. Common cases are: one-dimensional (like a wire); uses a line charge density \(\displaystyle λ\) two-dimensional (metal plate); uses surface charge density \(\displaystyle σ\)
The electric field of a line of charge can be found by superposing the point charge fields of infinitesmal charge elements. The radial part of the field from a charge element is given by. The integral required to obtain the field expression is. Infinite line charge. Electric potential of finite line charge.
Our first step is to define a charge density for a charge distribution along a line, across a surface, or within a volume, as shown in Figure 5.22. Figure 5.22 The configuration of charge differential elements for (a) a line charge, (b) a sheet of charge, and (c) a volume of charge.
The line charge density \(\rho_l\) at any point along the curve is defined as \[\rho_l \triangleq \lim_{\Delta l \to 0} \frac{\Delta q}{\Delta l} = \frac{dq}{dl} \nonumber \] which has units of C/m. We may then define \(\rho_l\) to be a function of position along the curve, parameterized by \(l\); e.g., \(\rho_l(l)\).
Our first step is to define a charge density for a charge distribution along a line, across a surface, or within a volume, as shown in Figure 1.5.1. Figure 1.5.1 The configuration of charge differential elements for a (a) line charge, (b) sheet of charge, and (c) a volume of charge.
