Concept explainers
The total electric force on three point charges.
Explanation of Solution
Given:
The magnitude of the first point charge is
The magnitude of the second point charge is
The position of the second point charge particle is
The magnitude of the third point charge is
The position of the third point charge is
Formula used:
Write the expression for the net force that acts on
Here,
Write the expression for the force on first charge due to second charge.
Here,
Write the expression for the force on first charge due to second charge.
Here,
Write the expression for the net force that acts on
Here,
Write the expression for the force on second charge due to third charge.
Here,
Write the expression for the force on first charge due to second charge.
Here,
Write the expression for the net force that acts on the third charge.
From Newton’s third law the action and reaction forces are equal that is:
Here,
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The total electric force on first, second and third charges are
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Chapter 21 Solutions
Physics for Scientists and Engineers
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