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An infinite number of charges, each equa...

An infinite number of charges, each equal to q are arranged in a line at distance 1,2,4,8,16,…..from a fixed point on the line. Find the potential and field at that fixed point. What will be the potential and electric field if, in the above set up, the consecutive charges have opposite signs?

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The correct Answer is:
`q/(2piepsilon_(0)),q/(3piepsilon_(0)),q/(6piepsilon_(0)),q/(5piepsilon_(0))`
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NN GHOSH-ELECTRIC FIELD AND POTENIAL-EXERCISE-B
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  2. Two equal charges, +Q each, are at a distance r from each other. A thi...

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  3. An infinite number of charges, each equal to q are arranged in a line ...

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  4. Four charges +q,+2q,+3q and +4q are placed at the four corners ABCD of...

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  5. Two identical positive charges are placed at the diagonally opposite c...

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  6. A charge Q is placed at each of the two opposite corners of a square ...

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  7. A thin copper ring of radius a is charged with q units of electricity....

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  8. A an electron is placed at the centre of the copper ring of problem 37...

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  9. A thin half- ring of radiusb 20 cm is uniformly charged with a tot...

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  10. A thin nonconducting ring of radius r has a linear charge density q=q0...

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  11. A thin wire ring of radius r has an electric charge q. What is the ten...

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  12. A charge +Q is uniformly distributed over a thin ring of a radius R. F...

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  13. Three identical particals, each of charge Q=0.5 mu C and mass m=7.5xx1...

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  14. Two small similar balls of mass m are hung by silk threads of length l...

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  15. Calculate the field due to a uniformly charged straight conductor of ...

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  16. Two positive charges q(1) and q(2) are located at points with radius v...

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  17. Point charges q and -q located at the vertices of a square with diagon...

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  18. Two co-axisal rings, each of radius R, are separated by a small distan...

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  19. Find the potential phi of an electric field given by vecE=a(y hati+x h...

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  20. Calculate the potential at a point on the perpendicular bisector of un...

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