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Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square?
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Four charges +q,+q,-q,-q are placed respectively at the four corners A...
Calculating Electric Field at the Center of the Square
To calculate the electric field at the center of the square formed by the charges +q, +q, -q, -q placed at the corners A, B, C, D respectively, we can use the principle of superposition.
Applying Superposition Principle
- The electric field at the center of the square due to the charges at corners A and B will be in the same direction since they are both positive.
- The electric field at the center of the square due to the charges at corners C and D will also be in the same direction since they are both negative.
- To find the net electric field at the center, we need to add the electric field vectors due to the charges at corners A, B, C, and D.
Calculating Electric Field due to Charges at Corners A and B
- The electric field due to a point charge q at a distance r is given by E = kq/r^2, where k is the Coulomb's constant.
- The distance from the center of the square to corners A and B is b√2/2.
- Therefore, the electric field at the center due to charges at corners A and B is E_AB = 2 * kq/(b√2/2)^2.
Calculating Electric Field due to Charges at Corners C and D
- The distance from the center of the square to corners C and D is also b√2/2.
- Therefore, the electric field at the center due to charges at corners C and D is E_CD = 2 * kq/(b√2/2)^2.
Net Electric Field at the Center
- The net electric field at the center of the square will be the vector sum of E_AB and E_CD.
- Since the electric field vectors due to charges at corners A and B are in the same direction, and the electric field vectors due to charges at corners C and D are in the same direction, we can simply add the magnitudes of E_AB and E_CD to get the net electric field at the center.
By calculating the magnitudes and directions of E_AB and E_CD and adding them, we can determine the resultant electric field at the center of the square formed by the charges +q, +q, -q, -q placed at the corners A, B, C, D respectively.
To calculate the electric field at the center of the square formed by the charges +q, +q, -q, -q placed at the corners A, B, C, D respectively, we can use the principle of superposition.
Applying Superposition Principle
- The electric field at the center of the square due to the charges at corners A and B will be in the same direction since they are both positive.
- The electric field at the center of the square due to the charges at corners C and D will also be in the same direction since they are both negative.
- To find the net electric field at the center, we need to add the electric field vectors due to the charges at corners A, B, C, and D.
Calculating Electric Field due to Charges at Corners A and B
- The electric field due to a point charge q at a distance r is given by E = kq/r^2, where k is the Coulomb's constant.
- The distance from the center of the square to corners A and B is b√2/2.
- Therefore, the electric field at the center due to charges at corners A and B is E_AB = 2 * kq/(b√2/2)^2.
Calculating Electric Field due to Charges at Corners C and D
- The distance from the center of the square to corners C and D is also b√2/2.
- Therefore, the electric field at the center due to charges at corners C and D is E_CD = 2 * kq/(b√2/2)^2.
Net Electric Field at the Center
- The net electric field at the center of the square will be the vector sum of E_AB and E_CD.
- Since the electric field vectors due to charges at corners A and B are in the same direction, and the electric field vectors due to charges at corners C and D are in the same direction, we can simply add the magnitudes of E_AB and E_CD to get the net electric field at the center.
By calculating the magnitudes and directions of E_AB and E_CD and adding them, we can determine the resultant electric field at the center of the square formed by the charges +q, +q, -q, -q placed at the corners A, B, C, D respectively.
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Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square?
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Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square?.
Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four charges +q,+q,-q,-q are placed respectively at the four corners A,B,C,D of a square of side ‘b’. calculate the electric field at the centre of square?.
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