Concept explainers
(a)
The magnitude of total electric force exerted on the charge at the lower left corner due to the other three charges.
(a)
Answer to Problem 65P
The magnitude of total electric force exerted on the charge at the lower left corner due to the other three charges is
Explanation of Solution
Figure 1 represents four charges of equal magnitude of
Write the expression for angle
Here,
Write the expression for magnitude of electric force due to charge 1.
Here,
Write the expression for magnitude of electric force due to charge 2.
Here,
Write the expression for magnitude of electric force due to charge 1.
Here,
Write the expression for horizontal component of the resultant force.
Write the expression for vertical component of the resultant force.
Write the expression for the resultant force.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the magnitude of total electric force exerted on the charge at the lower left corner due to the other three charges is
(b)
The direction of total electric force exerted on the charge at the lower left corner due to the other three charges.
(b)
Answer to Problem 65P
The direction of total electric force exerted on the charge at the lower left corner due to the other three charges is
Explanation of Solution
Write the expression for angle between the vertical component and the horizontal component of the resultant electric force from Figure 1.
Here,
Conclusion:
Substitute
Therefore, the direction of total electric force exerted on the charge at the lower left corner due to the other three charges is
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Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
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