---### 4: The Electric Field of Distributed Charges#### 4.4.2 Electric Field Near the Center of a Uniform DiskAnother special case turns out to be of considerable interest. Let's see what the electric field is like near the center of a uniformly charged disk (x small, but not zero, for the reasons just given). Suppose that we are so close to the disk that \( x \) is very small (\( x \ll R \)), or equivalently that we are some distance away but the disk is very large (\( R \gg x \)).\[ \text{Show that near the disk } E = \frac{Q/A}{2 \varepsilon_0} \left[1 - \frac{x}{R}\right]. \]---This section is designed to help students understand the behavior of the electric field near the center of a uniformly charged disk. The conditions being analyzed are that the distance \( x \) from the center of the disk is much smaller than the radius \( R \) of the disk, indicating either a small \( x \) or a large \( R \). This specific scenario leads to an approximation for the electric field close to the center. The students are required to show the given formula through appropriate derivations and explanations.

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Another special case turns out to be of considerable interest. Let's see what the electric field is like near the center of a uniformly charged disk (x small, but not zero, for the reasons just given). Suppose that we are so close to the disk that x is very small (x <> x). QIA Show that near the disk E- R

Another special case turns out to be of considerable interest. Let's see what the electric field is like near the center of a uniformly charged disk (x small, but not zero, for the reasons just given). Suppose that we are so close to the disk that x is very small (x <> x). QIA Show that near the disk E- R

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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