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A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0..... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be  Then, the potential at the origin due to the above system of charges is
  • a)
    0
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0......
Since potential is a scalar, the potential due to all charges separately can be written at the origin and added to get the answer.

The potential due to all charges when added gives kq/x -kq/2x +kq/3x -kq/4x ...and so on to infinity.

This can also be written as kq.ln2/x.

As the expansion of ln(1+x) is x-x.x/2+x.x.x/3-x.x.x.x/4+ and so on for x belonging to [-1,+1]
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A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0..... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Then, the potential at the origin due to the above system of charges isa)0b)c)∞d)Correct answer is option 'D'. Can you explain this answer?
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A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0..... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Then, the potential at the origin due to the above system of charges isa)0b)c)∞d)Correct answer is option 'D'. Can you explain this answer? 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 A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0..... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Then, the potential at the origin due to the above system of charges isa)0b)c)∞d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0..... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Then, the potential at the origin due to the above system of charges isa)0b)c)∞d)Correct answer is option 'D'. Can you explain this answer?.
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