Concept explainers
The electric force on the
Answer to Problem 22P
The electric force on the
Explanation of Solution
The arrangement of the charges is given in the figure. Let us represent
Let us consider as the charges
The use of Pythagoras theorem to the right triangle arrangement of the charges, the distance between the charges
According to superposition principle, the force on charge
Write the expression for the force on charge
Here,
Write the expression for the force on charge
Here,
Write the expression for the total force on the charge
Write the expression for the position vectors
The magnitude of position vectors
Use equation (IV) in (I).
Use equation (V) in (II).
Use equation (VI) and (VII) in (III).
Write the expression for the magnitude of the total force.
Here,
Let
Conclusion:
Substitute
It is obtained that the magnitude of
Substitute
Substitute
Therefore, the electric force on the
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