### Problem StatementA uniformly charged disk with radius \( R = 40.0 \) cm and uniform charge density \( \sigma = 8.90 \times 10^{-3} \) C/m² lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations?#### (a) \( z = 5.00 \) cm\[ \boxed{\hspace{3cm}} \text{MN/C} \]#### (b) \( z = 10.0 \) cm\[ \boxed{\hspace{3cm}} \text{MN/C} \]#### (c) \( z = 50.0 \) cm\[ \boxed{\hspace{3cm}} \text{MN/C} \]#### (d) \( z = 200 \) cm\[ \boxed{\hspace{3cm}} \text{MN/C} \]### Explanation for Educational WebsiteThis problem involves calculating the electric field generated by a uniformly charged disk at different points along the z-axis.#### Definitions:- **Radius (R):** The distance from the center of the disk to its edge.- **Uniform charge density (\(\sigma\)):** Charge per unit area on the surface of the disk.- **xy-plane:** A two-dimensional plane determined by the x-axis and y-axis.#### Strategy:Use the formula for the electric field due to a uniformly charged disk at a point along its perpendicular axis (the z-axis):\[ E(z) = \frac{\sigma}{2 \epsilon_0} \left( 1 - \frac{z}{\sqrt{z^2 + R^2}} \right) \]where:- \( z \) is the distance from the disk along the z-axis.- \( \epsilon_0 \) is the permittivity of free space (\( \epsilon_0 \approx 8.85 \times 10^{-12} \text{C}^2/(\text{N} \cdot \text{m}^2) \)).#### Steps:1. **Convert cm to m:** Ensure all distances are in meters for consistency in units.2. **Substitute values into the formula:** Plug in the radius \( R \), charge density \( \sigma \), and distance \( z \)

Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.90 x 10-3 C/m² lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z = 5.00 cm MN/C (b) z 10.0 cm MN/C (c) z = 50.0 cm MN/C (d) z = 200 cm MN/C

A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.90 x 10-3 C/m² lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z = 5.00 cm MN/C (b) z 10.0 cm MN/C (c) z = 50.0 cm MN/C (d) z = 200 cm MN/C

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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