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Suppose the surface charge density over ...

Suppose the surface charge density over a sphere of radius R depends on a polar angle `theta` as `sigma = sigma_(0)cos theta`, where `sigma_(0)` is a positive constant. Show that such a charge distribution can be represented ~s a result ofa small relative shift of two uniformly · charged balls of radius R whose charges are equal in magnitude and opposite in sign. Resorting to this representation, find the electric field strength vector inside the given sphere. `[(sigma_(0))/(3in_(0))]`

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PHYSICS GALAXY - ASHISH ARORA-ELECTROSTATICS-Partice Exercise
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  2. There are two nonconducting spheres having uniform volume charge densi...

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  3. Suppose the surface charge density over a sphere of radius R depends o...

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  4. The region between two concentric spheres of radii 'a' and 'b', respec...

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  5. A square loop of side 'l' each side having uniform linear charge densi...

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  6. Two concentric rings, one of radius a and the other of radius b, have ...

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  7. An infinite dielectric sheet having charge density sigma has a hole of...

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  8. A uniform rod AB of mass m and length l is hinged at its mid point C. ...

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  9. Two particles each charged with a charge +q are clamped on they axis a...

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  10. An infinite number of charges each equal to q are placed along the x-a...

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  11. A particle having a charge of 1.6 x 10^(-19) C enters midway between t...

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  12. A circular ring of radius R with uniform positive charge density lambd...

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  13. Two thin wire rings each having radius R are placed at distance d apar...

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  14. A positive charge Q is uniformly distributed throughout the volume of ...

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  15. The electric potential at surface of thin non-conducting sheet with ch...

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  16. Two identical circular rings A and B of radius 30 cm are placed coaxia...

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  17. A non-conducting disc of radius a and uniform positive surface charge ...

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  18. Determine the potential phi (x,y,z) of an electrostatic field vec(E) =...

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  19. Find the potential difference between points a and b in and electric f...

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  20. Consider a spherical surface of radius 4 m cenred at the origin. Point...

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