A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (see the figure). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 and (b) z = ∞? (c) In terms of R, at what positive value of z is that magnitude maximum? (d) If R = 2.07 cm and Q = 4.25 μC, what is the maximum magnitude?

A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (see the figure). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 and (b) z = ∞? (c) In terms of R, at what positive value of z is that magnitude maximum? (d) If R = 2.07 cm and Q = 4.25 μC, what is the maximum magnitude?

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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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A thin nonconducting rod with a uniform distribution
of positive charge Q is bent into a circle of radius R
(see the figure). The central perpendicular axis
through the ring is a z axis, with the origin at the
center of the ring. What is the magnitude of the
electric field due to the rod at (a) z = 0 and (b) z = ∞?
(c) In terms of R, at what positive value of z is that
magnitude maximum? (d) If R = 2.07 cm and Q = 4.25
μC, what is the maximum magnitude?
(a) Number
C
R
i
(b) Number i
(c) Number i
(d) Number i
Units
N/C
Units N/
Units No units
Units
N/O

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Step 1: Determine the given data:

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Step 2: a) Determine the electric field at z=0:

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Step 3: b) Determine the electric field at z=infinity:

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Step 4: c) Calculate the value of z where E is maximum:

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Step 5: d) Determine the maximum magnitude of electric field:

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