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Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)?
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Two charges q and -q are kept at point (-x2,0) and (x1, 0) respective...
Calculation of Net Electric Field at Origin
Given Data
- Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane.
Calculation of Electric Field Due to q charge
- Electric field at the origin due to q charge = kq/r^2, where k is Coulomb's constant, q is charge and r is distance from charge to origin.
- Distance from q charge to origin = sqrt(x2^2), as q charge is at (-x2,0).
- Thus, electric field due to q charge at origin = kq/(x2^2).
Calculation of Electric Field Due to -q charge
- Electric field at the origin due to -q charge = k(-q)/r^2, where k is Coulomb's constant, -q is charge and r is distance from charge to origin.
- Distance from -q charge to origin = sqrt(x1^2), as -q charge is at (x1,0).
- Thus, electric field due to -q charge at origin = -kq/(x1^2).
Calculation of Net Electric Field at Origin
- Net electric field at the origin = electric field due to q charge + electric field due to -q charge.
- Net electric field at the origin = kq/(x2^2) - kq/(x1^2).
- Magnitude of net electric field at the origin = |kq/(x2^2) - kq/(x1^2)|.
- Direction of net electric field at the origin = towards x1 if x1 > x2 and towards x2 if x2 > x1. If x1 = x2, then net electric field is zero.
Conclusion
- Thus, we have calculated the magnitude and direction of the net electric field at the origin due to two charges q and -q kept at (-x2,0) and (x1,0) respectively in XY plane.
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Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)?
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Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)? 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 Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)?.
Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)? 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 Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two charges q and -q are kept at point (-x2,0) and (x1, 0) respectively in XY plane . Find the magnitude and the direction of the net electric fieldat the origin (0,0)?.
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