Concept explainers
The force exerted by the three point charges on the fourth charge.
Explanation of Solution
Given: The magnitude of the three point charges is
The length of the side of the square is
Formula used:
Write the expression for the coulomb law.
Here,
The representation of the four charges at the vertices of the square is shown below:
Here,
Write the expression for the net force acting on the fourth charge.
Write the expression for the force exerted on fourth charge due to first charge.
Here,
Write the expression for the force exerted by the second charge on the fourth charge.
Here,
Write the expression for the force exerted by the third charge on the fourth charge.
Here,
Write the expression for
Write the expression for the unit vector.
Here,
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The force exerted by the three point charges on the fourth charge is
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Chapter 21 Solutions
Physics for Scientists and Engineers
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