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Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is?
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Two charges of equal magnitude and at a distance r exert a force F on ...
Explanation:
Original scenario:
- Two charges of equal magnitude and at a distance r exert a force F on each other.
Scenario after modification:
- Charges are halved and distance between them is doubled.
Calculation of new force:
- Let the original charges be q and the original distance be r.
- The original force between the charges is given by Coulomb's law: F = k(q^2/r^2), where k is the Coulomb's constant.
- After halving the charges and doubling the distance, the new force can be calculated using the same formula with the new values of charge and distance.
New force formula:
- Let q' be the new charge (q/2) and r' be the new distance (2r).
- The new force can be calculated as: F' = k((q/2)^2/(2r)^2) = k(q^2/16r^2) = (1/16)F
Conclusion:
- The new force acting on each charge is 1/16 times the original force.
Original scenario:
- Two charges of equal magnitude and at a distance r exert a force F on each other.
Scenario after modification:
- Charges are halved and distance between them is doubled.
Calculation of new force:
- Let the original charges be q and the original distance be r.
- The original force between the charges is given by Coulomb's law: F = k(q^2/r^2), where k is the Coulomb's constant.
- After halving the charges and doubling the distance, the new force can be calculated using the same formula with the new values of charge and distance.
New force formula:
- Let q' be the new charge (q/2) and r' be the new distance (2r).
- The new force can be calculated as: F' = k((q/2)^2/(2r)^2) = k(q^2/16r^2) = (1/16)F
Conclusion:
- The new force acting on each charge is 1/16 times the original force.
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Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is?
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Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is?.
Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two charges of equal magnitude and at a distance r exert a force F on each other.If the charges are halved and distance between them is doubled,then the new force acting on each charge is?.
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