Concept explainers
Three charged metal spheres are arrayed in the xy plane so that they form an equilateral triangle (Fig. P23.40). What is the net electrostatic force on the sphere at the origin?
Figure P23.40
The net electrostatic force on the sphere at the origin.
Answer to Problem 40PQ
The net electrostatic force on the sphere at the origin is
Explanation of Solution
The diagram for the forces on charge on the origin.
Write the expression for Coulomb’s law.
Here,
Substitute
The magnitude of the force on charge
Substitute
The magnitude of the force on charge
Write the expression to find the net electrostatic force on sphere at origin.
Here,
Write the expression to find the x-component of net electrostatic force on sphere at origin.
Substitute
Write the expression to find the y-component of net electrostatic force on sphere at origin.
Substitute
Conclusion:
Substitute
Thus, the net electrostatic force on the sphere at the origin is
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Chapter 23 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
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