Concept explainers
(a)
The electric field for
(a)
Answer to Problem 60AP
The electric field for
Explanation of Solution
The diagram for the cylindrical shell with inner radius
Figure (1)
Here,
Write the expression for the linear charge density.
Here,
Rearrange equation (I) to get the expression for
Write the expression to calculate the electric field for the region
Here,
Substitute
Substitute
Positive sign indicate the electric field is directed radially outward.
Conclusion:
Therefore, the electric field for
(b)
The electric field for
(b)
Answer to Problem 60AP
The electric field for
Explanation of Solution
Write the expression for the volume charge density.
Here,
Rearrange equation (IV) to obtain the expression for
Here,
Write the expression to calculate the volume of the enclosed charge.
Here,
Substitute
Write the expression for total charge inside the cylinder.
Here,
Substitute
Write the expression to calculate the electric field for the region
Here,
Substitute
Substitute
Positive sign indicates the electric field is directed radially outward.
Conclusion:
Therefore, the electric field for
(c)
The electric field for
(c)
Answer to Problem 60AP
The electric field for
Explanation of Solution
Write the expression to calculate the volume of the enclosed charge.
Here,
Substitute
Write the expression to calculate the electric field for the region
Here,
Substitute
Substitute
Positive sign indicate the electric field is directed radially outward.
Conclusion:
Therefore, the electric field for
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Chapter 24 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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