A thin, horizontal, 14-cm-diameter copper plate is charged to-2.8 nC. Assume that the electrons are uniformly distributedon the surfacePart AWhat is the strength of the electric field 0.1 mm above the center of the top surface of the plate?Express your answer to two significant figures and include the appropriate units.

Answered: A thin, horizontal, 14-cm-diameter…

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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Question

A thin, horizontal, 14-cm-diameter copper plate is charged to
-2.8 nC. Assume that the electrons are uniformly distributed
on the surface
Part A
What is the strength of the electric field 0.1 mm above the center of the top surface of the plate?
Express your answer to two significant figures and include the appropriate units.

Expert Solution

Step 1

Electric field due to charged disc is given by

charge on the disc = -2.8nC

diameter of the disc = 14cm

hence radius R = 7 cm = 0.07 m

point above the center z = 0.1 mm

$E = \frac{σ}{2 ε_{\circ}} (1 - \frac{z}{\sqrt{z^{2} + R^{2}}}) w h e r e σ = c h a r g e d e n s i t y σ = \frac{Q}{A} = \frac{- 2.8 \times 10^{- 9}}{{πR}^{2}} = \frac{- 2.8 \times 10^{- 9}}{π {(0.07)}^{2}} σ = 1.81 \times 10^{- 7} C / m^{2}$

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