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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
A charge Q is uniformly distributed on a straight-line segment of length L, as shown in Figure 22-3. We wish to find the electric field at an arbitrarily posi-tioned field point P. 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.
Let \(\Delta q\) be the total charge along a short segment of the curve, and let \(\Delta l\) be the length of this segment. 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 ...
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.
While we were studying the electric field of a point charge, we calculated the electric field that it generates, some R distance away, the electric field at point P, for a positive point charge is radially outward direction. And, we calculated the magnitude of this electric field by applying Coulomb’s law, which was experimental law.
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
