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 = 4.14 UC, 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 = 4.14 UC, 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

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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 = 4.14
UC, what is the maximum magnitude?
(a) Number
(b) Number
(c) Number
(d) Number
1171
7.07107e-1
1.23596e7
Units
Units
Units
Units
N/C or V/m
N/C or V/m
No units
N/C or V/m
*R

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Step 1: Determine the given data:

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Step 2: a) Determine the magnitude of electric field due to charged rod at z=0:

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Step 3: b) Magnitude of electric field due to rod at z equal to infinity:

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Step 4: c) Value of z at which the magnitude of E is maximum:

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Step 5: d) Calculate the maximum magnitude:

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