Concept explainers
Charges of +2.0, +3.0, and
The magnitude of force acting on the
Answer to Problem 32SP
Solution:
Explanation of Solution
Given Data:
The change on point A of the triangle is
The change on point B of the triangle is
The change on point C of the triangle is
The length of each side of the triangle is
Formula Used:
Write the expression for the electrostatic force:
Here,
The expression for resultant electrostatic force acting on one charge (test charge) due to presence of two other charges is given as
Here, Here,
Explanation:
Assume an equilateral triangle ABC having each side equal to
The electrostatic force exerted by charge placed at A on charged placed at C is
Here, first calculate the electrostatic force exerted by charge placed at A on charge placed at B. The expression for the electrostatic force is given as
Here,
Substitute
Now, calculate the electrostatic force exerted by charge placed at B on charge placed at C.
The expression for the electrostatic force is given as follows:
Here,
Substitute
Finally, we shall calculate the resultant force acting on charge placed at C due to the forces exerted by charges placed at A and C.
The expression for resultant electrostatic force acting on charge placed at C due to the forces exerted by charges placed at A and C is given as
Here, Here,
Substitute
Conclusion:
The magnitude of force acting on the
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Chapter 24 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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