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6. Consider again a charged annulus of inner radius Ri and an outer radius R2 with a uniform surface charge density o. Take the electric potential to be zero at infinity, as usual. b) Integrate your answer over the radius r to find the electric potential along the axis of the annulus. c) At the very center of the annulus, what is the potential? Does this agree with your result from part (a) of problem 5? * a) Find the electric potential along the axis of a thin ring of radius r and width dr of the annulus.

6. Consider again a charged annulus of inner radius Ri and an outer radius R2 with a uniform surface charge density o. Take the electric potential to be zero at infinity, as usual. b) Integrate your answer over the radius r to find the electric potential along the axis of the annulus. c) At the very center of the annulus, what is the potential? Does this agree with your result from part (a) of problem 5? * a) Find the electric potential along the axis of a thin ring of radius r and width dr of the annulus.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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please answer 6 only question 5 is only for reference
5. For a charged disk with radius R and uniform surface charge density ơ, the electric potential at the center is given by V = oR/2€0. (Here we have taken the potential to be zero at infinity.) b) What is the magnitude of the electric field of the annulus at this center point? c) What force acts on the gold nucleus when it is located there? a) Given this, find the electric potential energy of a gold nucleus (with charge +79e), if it happens to be located at the center of a charged annulus as shown. d) The gold nucleus is given a tiny nudge out of the plane of the annulus. What will happen to it? e) Find the speed of the gold nucleus when it gets very far away from the annulus. (Denote the mass of the nucleus by M.) * 6. Consider again a charged annulus of inner radius Ri and an outer radius R2 with a uniform surface charge density o. electric potential to be zero at infinity, as usual. b) Integrate your answer over the radius r to find the electric potential along the axis of the annulus. Take the c) At the very center of the annulus, what is the potential? Does this agree with your result from part (a) of problem 5? * a) Find the electric potential along the axis of a thin ring of radius r and width dr of the annulus.
Transcribed Image Text:5. For a charged disk with radius R and uniform surface charge density ơ, the electric potential at the center is given by V = oR/2€0. (Here we have taken the potential to be zero at infinity.) b) What is the magnitude of the electric field of the annulus at this center point? c) What force acts on the gold nucleus when it is located there? a) Given this, find the electric potential energy of a gold nucleus (with charge +79e), if it happens to be located at the center of a charged annulus as shown. d) The gold nucleus is given a tiny nudge out of the plane of the annulus. What will happen to it? e) Find the speed of the gold nucleus when it gets very far away from the annulus. (Denote the mass of the nucleus by M.) * 6. Consider again a charged annulus of inner radius Ri and an outer radius R2 with a uniform surface charge density o. electric potential to be zero at infinity, as usual. b) Integrate your answer over the radius r to find the electric potential along the axis of the annulus. Take the c) At the very center of the annulus, what is the potential? Does this agree with your result from part (a) of problem 5? * a) Find the electric potential along the axis of a thin ring of radius r and width dr of the annulus.
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