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A ball of radius R carries a positive c...

A ball of radius `R` carries a positive charge whose volume density depends only on a separation `r` from the ball's centre as `rho = rho_(0) (1 - r//R)`, where `rho_(0)` is a constant. Asumming the permittivites of the ball and the enviroment to be equal to unity find :
(a) the magnitude of the electric field strength as a function of the distance `r` both inside and outside the ball :
(b) the maximum intensity `E_(max)` and the corresponding distance `r _(m)`.

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PHYSICS GALAXY - ASHISH ARORA-ELECTROSTATICS-Unsolved Numberical Problems
  1. A ball of radius R carries a positive charge whose volume density dep...

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  2. A small sphere is charged uniformly and placed at point A (u, v) so th...

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  3. The electric intensity Eat a point on the axis ofa ring of radius a at...

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  4. Two long wires each oflength I are placed on a smooth horizontal table...

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  5. Four charges +50 xxI0^(-9)C, -12 xx I0^(-19)C, + 36 xx I0^(-9)C " and ...

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  6. A solid conducting sphere of radius R is placed in a uniform electric ...

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  7. Suppose in an insulating medium, having di-electric constant k= 1, vol...

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  8. Two short dipoles phat(k) and P/2 hat(k) are located at (0,0,0) & (1m,...

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  9. Two long straight parallel wires carry charges lambda(1) and lamda(2) ...

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  10. Find the magnitude of uniform electric field E of which the direction ...

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  11. Two short electric dipoles having dipole moment p(1)" and "p(2) are ...

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  12. Three identically charged, small spheres each of mass m are suspended ...

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  13. Two horizontal parallel conducting plates are kept at a separation d =...

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  14. A small cork ball A of mass m is suspended by a thread of length I. An...

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  15. A particle of mass m having negative charge q moves along an ellipse a...

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  16. Two concentric spheres of radii R and 2R are charged. The inner sphere...

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  17. A charged particle of radius 5xx10^(-7)m is located in a horizontal el...

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  18. Two small balls having the same mass and charge and located on the sam...

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  19. What is the percentage change in distance if the force of attraction b...

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  20. two concentric rings of radii r and 2rare placed with centre at origin...

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  21. Find the electric field strength vector at the centre of a ball of rai...

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