Concept explainers
Four charged particles are at the corners of a square of side a as shown in Figure P23.25. Determine (a) the electric field at the location of charge q and (b) the total electric force exerted on q.
(a)
The electric field at the location of charge
Answer to Problem 23.25P
The electric field at the location of the charge
Explanation of Solution
Given info: The charged at point M is
The diagram for the charged particle at the corner of the square is given below.
Figure (1)
Formula to calculate the electric field at point P due charge at M,
Here,
Formula to calculate the electric field at point P due charge at O,
Here,
Formula to calculate the electric field at point P due charge at N,
Here,
Formula to calculate the distance between charge at P and charge at N from the figure (1),
Substitute
Formula to calculate the net electric field at point P,
Substitute
Substitute
Conclusion:
Therefore, The electric field at the location of the charge
(b)
The electric force at the location of the charge
Answer to Problem 23.25P
The electric force at the location of the charge
Explanation of Solution
Given info: The charged at point M is
Formula to calculate the electric force at point P,
Here,
Substitute
Conclusion:
Therefore, the electric field at the location of the charge
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Chapter 23 Solutions
Physics For Scientists And Engineers, Technology Update, Loose-leaf Version
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