Concept explainers
The infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a uniform surface charge density of 48.0 μC/m2, and the one on the right has a uniform surface charge density of 24.0 μC/m2.
- a. What are the magnitude and direction of the net electric field at points A, B, and C?
- b. What is the force exerted on an electron placed at points A, B, and C?
FIGURE P25.47
(a)
The magnitude and direction of the net electric fields at points
Answer to Problem 47PQ
The magnitude and direction of the net electric fields at points
Explanation of Solution
Write the expression for finding the electric field due to first sheet.
Here,
Write the expression for finding the electric field due to second sheet.
Here,
The following figure shows the direction and the sum of the fields at points
Write the expression to find the electric field at point
Write the expression to find the electric field at point
Write the expression to find the electric field at point
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the magnitude and direction of the net electric fields at points
(b)
The force exerted on an electron placed at points
Answer to Problem 47PQ
The force exerted on an electron placed at points
Explanation of Solution
Write the expression for the force exerted on the electron.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the force exerted on an electron placed at points
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Chapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections