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Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q).
the force on +ve charge kept at the center of the square is?
the force on +ve charge kept at the center of the square is?
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Four charges are arranged at the corners of a square ABCD where A(-2q)...
Calculating the Force on a Positive Charge at the Center of the Square:
- Step 1: Find the Electric Field Due to Each Charge:
- Electric field due to a point charge is given by E = k*q/r^2, where k is the electrostatic constant, q is the charge, and r is the distance from the charge.
- Calculate the electric field at the center of the square due to each charge using the given coordinates.
- Step 2: Find the Direction of Electric Field:
- The electric field due to +2q at D will point towards the center of the square.
- The electric field due to -2q at A will also point towards the center of the square.
- The electric field due to +q at B will point away from the center of the square.
- The electric field due to -q at C will also point away from the center of the square.
- Step 3: Calculate the Net Electric Field at the Center:
- Since the electric fields due to charges at B and C cancel each other out, and the electric fields due to charges at A and D add up, the net electric field at the center will be the sum of the electric fields due to +2q and -2q charges.
- Step 4: Calculate the Force on the +ve Charge:
- Once the net electric field is known, the force on the +ve charge at the center can be calculated using the formula F = q*E, where q is the charge at the center and E is the net electric field.
By following these steps and calculations, you can determine the force acting on the +ve charge at the center of the square due to the arrangement of charges at the corners.
- Step 1: Find the Electric Field Due to Each Charge:
- Electric field due to a point charge is given by E = k*q/r^2, where k is the electrostatic constant, q is the charge, and r is the distance from the charge.
- Calculate the electric field at the center of the square due to each charge using the given coordinates.
- Step 2: Find the Direction of Electric Field:
- The electric field due to +2q at D will point towards the center of the square.
- The electric field due to -2q at A will also point towards the center of the square.
- The electric field due to +q at B will point away from the center of the square.
- The electric field due to -q at C will also point away from the center of the square.
- Step 3: Calculate the Net Electric Field at the Center:
- Since the electric fields due to charges at B and C cancel each other out, and the electric fields due to charges at A and D add up, the net electric field at the center will be the sum of the electric fields due to +2q and -2q charges.
- Step 4: Calculate the Force on the +ve Charge:
- Once the net electric field is known, the force on the +ve charge at the center can be calculated using the formula F = q*E, where q is the charge at the center and E is the net electric field.
By following these steps and calculations, you can determine the force acting on the +ve charge at the center of the square due to the arrangement of charges at the corners.
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Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is?
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Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is?.
Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four charges are arranged at the corners of a square ABCD where A(-2q) , B(+q), C(-q), D(+2q). the force on +ve charge kept at the center of the square is?.
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