
Concept explainers
(a)
The magnitude of the electric filed at a distance from the sphere’s center of
(a)

Answer to Problem 49P
The electric field at point distant
Explanation of Solution
Given info:
The radius of the sphere is
The charge on the sphere is
Formula used:
Gauss law states that the net electric flux passing through closed surface is equal to the
The expression for the Gauss Law is,
Calculation:
As the charge resides on the surface of the sphere, any surface enclosing the sphere below the surface would not carry any charge. Hence, from Gauss Law, the electric field at point distant
Conclusion:
Thus, the electric field at point distant
(b)
The magnitude of the electric filed at a distance from the sphere’s center of
(b)

Answer to Problem 49P
The electric field at point distant
Explanation of Solution
Given info:
The radius of the sphere is
The charge on the sphere is
Formula used:
Gauss law states that the net electric flux passing through closed surface is equal to the
The expression for the Gauss Law is,
Calculation:
As the charge resides on the surface of the sphere, any surface enclosing the sphere below the surface would not carry any charge. Hence, from Gauss Law, the electric field at point distant
Conclusion:
Thus, the electric field at point distant
(c)
The magnitude of the electric filed at a distance from the sphere’s center of
(c)

Answer to Problem 49P
The electric field at point distant
Explanation of Solution
Given info:
The radius of the sphere is
The charge on the sphere is
Formula used:
For points lying outside the sphere, the electric filed is the same as if all the charge were concentrated at the centre as a point charge.
Calculation:
Substituting the given values in formula
Conclusion:
Thus, the electric field at point distant
(d)
The magnitude of the electric filed at a distance from the sphere’s center of
(d)

Answer to Problem 49P
The electric field at point distant
Explanation of Solution
Given info:
The radius of the sphere is
The charge on the sphere is
Formula used:
For points lying outside the sphere, the electric filed is the same as if all the charge were concentrated at the centre as a point charge.
Calculation:
Substituting the given values in formula
Conclusion:
Thus, the electric field at point distant
(e)
Whether the answer will differ if the sphere is a thin shell.
(e)

Answer to Problem 49P
The answer will not change.
Explanation of Solution
Given info:
The radius of the sphere is
The charge on the sphere is
Formula used:
For points lying outside the sphere, the electric filed is the same as if all the charge were concentrated at the centre as a point charge.
Calculation:
The answers would not change even if it were a thin metal sheet.
Conclusion:
Thus, the answer will not change.
Chapter 16 Solutions
Physics: Principles with Applications
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