The figure shows a spherical shell with uniform volume charge density p = 2.11 nC/m³, inner radius a = 9.70 cm, and outer radius b = 2.2a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?

The figure shows a spherical shell with uniform volume charge density p = 2.11 nC/m³, inner radius a = 9.70 cm, and outer radius b = 2.2a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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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

The figure shows a spherical shell with uniform volume charge density p = 2.11 nC/m³, inner radius a = 9.70 cm, and outer radius b =
2.2a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r =
%3D
3.00b?

Expert Solution

Step 1

Electric field:

Mathematically, the term electric field is described as the ratio of the electric force and charge (E=F/q).

The expression for the electric field is also written as:

$E = k \frac{q}{r^{2}}$

Where

k is Coulomb constant
q is the charge

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