Concept explainers
(a)
The expression for the electric field for
(a)
Answer to Problem 94E
The expression for the electric field for
Explanation of Solution
The below Figure 1 shows the metallic sphere of outer radius
Write the expression for the Gauss’s law.
Here,
Write the expression for the surface area of a hollow sphere.
Conclusion:
Substitute Equation (II) in (I) to find the electric field for
Therefore, the expression for the electric field for
(b)
The expression for the electric field for
(b)
Answer to Problem 94E
The expression for the electric field for
Explanation of Solution
From part (a), the expression for the Gauss’s law is,
And the expression for the surface area of a hollow sphere is,
Use Equation (II) in (I).
The expression for the volume charge density of a hollow sphere is,
Here,
The volume of the insulating hollow sphere for a small element is,
Here,
The charge enclosed by the smallest element in the hollow sphere between
Use Equation (V) in (VI).
Use Equation (VII) in Equation (III).
Conclusion:
Substitute Equation (IV) in (VIII) to find the electric field for
Therefore, the expression for the electric field for
(c)
The expression for the electric field of
(c)
Answer to Problem 94E
The expression for the electric field for
Explanation of Solution
From part (a), the expression for the Gauss’s law is,
The charge
Any charge placed inside hollow spherical conductor attracts opposite charge from sphere.
Since sphere is neutral, an equal and opposite charge appears on inner surface of sphere. The charge inside a
Conclusion:
Therefore, expression for the electric field for
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Chapter 16 Solutions
General Physics, 2nd Edition
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- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning