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Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13?
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Three charges of equal magnitude are placed at three corners of square...
Explanation:
Given Information:
- Three charges of equal magnitude are placed at three corners of a square.
- The force acting between q1 and q2 is F12.
- The force acting between q1 and q3 is F13.
Basic Concept:
- According to Coulomb's Law, the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Calculating the Ratios:
- Let the charges at the corners of the square be q1, q2, and q3.
- The force between q1 and q2 (F12) is given by F12 = k * (q1 * q2) / d^2, where k is the Coulomb's constant and d is the side length of the square.
- The force between q1 and q3 (F13) is given by F13 = k * (q1 * q3) / d^2.
- Since the charges are equal, q1 = q2 = q3 = q.
- Therefore, the ratio of F12 to F13 is F12 : F13 = (q * q) / d^2 : (q * q) / d^2 = 1 : 1.
- Thus, the ratio of F12 to F13 is 1:1.
Conclusion:
- The ratio of the forces F12 and F13 acting between the charges q1 and q2 and q1 and q3, respectively, is 1:1 when the charges are placed at the corners of a square.
Given Information:
- Three charges of equal magnitude are placed at three corners of a square.
- The force acting between q1 and q2 is F12.
- The force acting between q1 and q3 is F13.
Basic Concept:
- According to Coulomb's Law, the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Calculating the Ratios:
- Let the charges at the corners of the square be q1, q2, and q3.
- The force between q1 and q2 (F12) is given by F12 = k * (q1 * q2) / d^2, where k is the Coulomb's constant and d is the side length of the square.
- The force between q1 and q3 (F13) is given by F13 = k * (q1 * q3) / d^2.
- Since the charges are equal, q1 = q2 = q3 = q.
- Therefore, the ratio of F12 to F13 is F12 : F13 = (q * q) / d^2 : (q * q) / d^2 = 1 : 1.
- Thus, the ratio of F12 to F13 is 1:1.
Conclusion:
- The ratio of the forces F12 and F13 acting between the charges q1 and q2 and q1 and q3, respectively, is 1:1 when the charges are placed at the corners of a square.
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Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13?
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Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13?.
Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three charges of equal magnitude are placed at three corners of square. If the force acting between q1 and q2 is F12 and that between q1 and q3 is F13. Find the ratio of F12:F13?.
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