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Show that there can be no net charge in ...

Show that there can be no net charge in a region in which the electric field is uniform at all points.

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As the electric field is uniform.
Considering a perpendicular to it, We find
that it is an equi potential surface. Hence
there is no net current flow on that surface
Thus net charge in that region is zero.
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HC VERMA ENGLISH-GAUSS LAW-Exercises
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  2. A charge Q is uniformly distributed over a rod of length iota. Condide...

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  3. Show that there can be no net charge in a region in which the electric...

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  4. The electric field in a region is given by vecE=E0x/iota veci. Find th...

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  5. A charge Q is placed at the centre of a cube. Find the flux of the ele...

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  6. A charge Q is placed at a distance a/2 above the centre of a horizonta...

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  7. Find the fluz f the electric field through a spherical surface of radi...

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  8. A charge Q is placed at the centre of an inaginary hemispherical surfa...

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  9. A spherical volume contains a uniformaly distributed charge of densit...

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  10. The radius of a gold nucleus (Z=79) is about 7.0*10^(-10) m. Assume th...

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  11. A Charge Q is distributed uniformly within the material of a hollow sp...

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  12. A charge Q is placed at the centre of an uncharged, hollow metallic sp...

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  13. Consider the following very rough model of a beryllium atom. The nucle...

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  14. Find the magnitude of the electric field at a point 4 cm away from a l...

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  15. A long cylindrical wire carries a positive charge of linear density 2....

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  16. A long cylindrical volume contains a uniformly distributed charge of d...

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  17. A nonconducting sheet of large surface area and thickness d contains u...

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  18. A charged partical having a charge of -2.0 xx 10^(-6) C is placed cl...

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  19. One end of a 10 cm long silk thread is fixed to a large vertical surfa...

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  20. One end of a 10 cm long silk thread is fixed to a large vertical surfa...

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