1. A circular disk of radius a is uniformly charged with p,C/m². If the disk lies on the z=0 plane with its axis along the z- axis, (a) show that at point (0, 0, z₁) Ē=p,[1 −z₁/(z₁ + a²)¹¹²]/(2ɛ) â₂, and (b) use the formula in (a) to find the Ē field due to an infinite sheet of charge on the z=0 plane.
1. A circular disk of radius a is uniformly charged with p,C/m². If the disk lies on the z=0 plane with its axis along the z- axis, (a) show that at point (0, 0, z₁) Ē=p,[1 −z₁/(z₁ + a²)¹¹²]/(2ɛ) â₂, and (b) use the formula in (a) to find the Ē field due to an infinite sheet of charge on the z=0 plane.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Please use problem 1 to solve problem 3 as explained as I am having trouble understanding it. Thank you!!!
Transcribed Image Text:3. Find the potential at (0, 0, z₁) for the charge system in problem 1.
![1. A circular disk of radius a is uniformly charged with p,C/m². If the disk lies on the z=0 plane with its axis along the z-
axis, (a) show that at point (0, 0, z₁) Ē = p;[1 − z₁/(z₁ + a²)¹¹²]/(2ɛ) â₂, and (b) use the formula in (a) to find the Ē field due
to an infinite sheet of charge on the z=0 plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd331e78d-4008-4ff5-981d-7e34411cb97b%2Fda849303-18ad-4457-b254-36081d94c1e1%2Fyjnfdky_processed.png&w=3840&q=75)
Transcribed Image Text:1. A circular disk of radius a is uniformly charged with p,C/m². If the disk lies on the z=0 plane with its axis along the z-
axis, (a) show that at point (0, 0, z₁) Ē = p;[1 − z₁/(z₁ + a²)¹¹²]/(2ɛ) â₂, and (b) use the formula in (a) to find the Ē field due
to an infinite sheet of charge on the z=0 plane.
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Step 1: Given data and what is find
VIEWStep 2: Cutting elemental part from disk and using electric field formula due to circular ring
VIEWStep 3: Set chage value in charge density form and integrate it
VIEWStep 4: Intergrating and find electric field at point Z1 on z-axis
VIEWStep 5: Find electric field at infiniti on z-axis as well as find potential at z1
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