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,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis?
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,Charges +2q. -q, -q and +2q are placed at the corners of a square ABC...
Resultant Force on the Charge at P:
1. Calculating Forces:
- The charge +2q at A and -q at B will exert attractive forces on the charge +q at P.
- The force due to +2q at A will be stronger than the force due to -q at B.
- The net force will be the vector sum of these forces.
2. Direction of Forces:
- The force due to +2q at A will act along the diagonal AP (from A to P).
- The force due to -q at B will act along the diagonal BP (from B to P).
- These forces will form a right angle at P.
3. Calculating Magnitude of Forces:
- The magnitude of the force due to +2q at A can be calculated using Coulomb's Law.
- Similarly, the magnitude of the force due to -q at B can also be calculated.
- The net force magnitude can be calculated using vector addition.
4. Resultant Force:
- The resultant force will be the vector sum of the forces due to +2q and -q at A and B respectively.
- The direction of the resultant force will be along the diagonal connecting A and B, passing through P.
- The magnitude of the resultant force can be calculated using the Pythagorean theorem.
In conclusion, the resultant force on the charge at P will be a vector sum of the forces due to +2q and -q at the corners of the square ABCD. The direction of the resultant force will be along the diagonal connecting the two corners and passing through P, while the magnitude can be calculated using Coulomb's Law and vector addition.
1. Calculating Forces:
- The charge +2q at A and -q at B will exert attractive forces on the charge +q at P.
- The force due to +2q at A will be stronger than the force due to -q at B.
- The net force will be the vector sum of these forces.
2. Direction of Forces:
- The force due to +2q at A will act along the diagonal AP (from A to P).
- The force due to -q at B will act along the diagonal BP (from B to P).
- These forces will form a right angle at P.
3. Calculating Magnitude of Forces:
- The magnitude of the force due to +2q at A can be calculated using Coulomb's Law.
- Similarly, the magnitude of the force due to -q at B can also be calculated.
- The net force magnitude can be calculated using vector addition.
4. Resultant Force:
- The resultant force will be the vector sum of the forces due to +2q and -q at A and B respectively.
- The direction of the resultant force will be along the diagonal connecting A and B, passing through P.
- The magnitude of the resultant force can be calculated using the Pythagorean theorem.
In conclusion, the resultant force on the charge at P will be a vector sum of the forces due to +2q and -q at the corners of the square ABCD. The direction of the resultant force will be along the diagonal connecting the two corners and passing through P, while the magnitude can be calculated using Coulomb's Law and vector addition.
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,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis?
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,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis?.
,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ,Charges +2q. -q, -q and +2q are placed at the corners of a square ABCD as shown in the diagram. Another charge +q is placed at P, the midpoint of AD. The resultant force on the charge at Pis?.
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