Concept explainers
To Calculate: The net force exerted by charges A and B on charge C.
Answer to Problem 11STP
Explanation of Solution
Given:
Charge on A,
Charge on B,
Charge on C,
Formula Used:
Electric force exerted on charge can be obtained by:
Here, k is the Coulomb’s constant,
Calculations:
Distance between charge A and C is:
Force on charge C due to charge A can be calculated as follows:
Angle with the horizontal at which this force acts:
Distance between charge B and C is:
Force on charge C due to charge B can be calculated as follows:
Angle with the horizontal at which this force acts:
The magnitude of the force due to charges A and B are equal but forces are in different direction. The sine components cancel leaving cosine sines in the same direction which add up giving the resultant force on charge C as:
Conclusion:
Thus, the net force exerted by charges A and B on charge C is
Chapter 20 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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