Concept explainers
The total force on the charge of
Answer to Problem 71AP
The total force on the charge of
Explanation of Solution
Write the expression for the force on the line of positive charge.
Here,
Write the expression for the electric field.
Here,
Write the expression for resolving the electric field in
Here,
Write the expression for resolving the electric field in
Here,
Write the expression for the small change in the charge over small change in length.
Here,
Write the expression for the small change in charge.
Conclusion:
Substitute
Upon integration, the small change in field becomes the total electric field.
Integrate equation (VII).
Substitute
Calculate further.
Integrate equation (V) to get the total charge.
Calculate further.
Rewrite the above expression to get
Substitute
Substitute
Substitute
Therefore, the total force on a charge of
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Chapter 23 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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