3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

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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Concept explainers

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 solid glass sphere of radius a contains excess charge distributed throughout its volume
such that the volume charge density depends on the distance r from the sphere's center
according to the equation
3.
P (r) =
p (r/a)
where p, is a constant.
(a) What are the units of p ?
(b) Compute the total charge Q on the sphere.
(c) Determine the magnitude of the electric field for
(1) r < a'
(ii) r 2 a
your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants.
(d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to
indicate on the vertical axis the value of E at r = a.
Write
E

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can you answer all parts please