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How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)?
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How much work is done in moving test charge from p( 7 0 0) to q ( -3 0...
Calculation of Work Done in Moving Test Charge
Given Information
- Test charge is moved from point P (7,0,0) to point Q (-3,0,0).
- Two charges are located at points A(0,0,-a) and B(0,0,-a).
Calculation of Electric Potential at Points A, B, P, and Q
- Electric potential at point A: V(A) = kq/(a)
- Electric potential at point B: V(B) = kq/(a)
- Electric potential at point P: V(P) = kq/(7)
- Electric potential at point Q: V(Q) = kq/(-3)
Calculation of Electric Potential Energy
- Electric potential energy of the system at point P: U(P) = kq/(7) + kq/(a)
- Electric potential energy of the system at point Q: U(Q) = kq/(-3) + kq/(a)
Calculation of Work Done in Moving Test Charge
- Work done in moving the test charge from point P to point Q: W = U(Q) - U(P)
- W = (kq/(-3) + kq/(a)) - (kq/(7) + kq/(a))
- W = kq[(1/(-3)) - (1/7)]
- W = -4kq/21
Explanation
The work done in moving the test charge from point P to point Q is calculated by finding the difference in electric potential energy of the system at those two points. The electric potential at points A, B, P, and Q is calculated using the formula V = kq/r, where k is Coulomb's constant, q is the charge, and r is the distance from the point to the charge. The electric potential energy of the system at points P and Q is calculated by summing the electric potential energies of the two charges and the test charge. Finally, the work done in moving the test charge from point P to point Q is calculated by finding the difference in electric potential energy between those two points.
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How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)?
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How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)?.
How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much work is done in moving test charge from p( 7 0 0) to q ( -3 0 0) when two charges are located at points A(0 0 -a) and B 0,0,-a)?.
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