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The Gaussian surface for calculating the...

The Gaussian surface for calculating the electric field due to a charge distribution is

A

any surface near the charge distribution

B

always a spherical surface

C

a symmetrical closed surface containing the charge distribution, at very point of which electric field has a single fixed value

D

None of the given options

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The correct Answer is:
C
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Uniform Electric Field|Charge Distribution

The law goverening electrostatics is coulomb's law.In priciple coulomb's law can be used to compute electric field due to any charge configuation .In pracitce however it is a formidable task to compute electric field due to uniform charge distributions .For such cases Gauss proposed a theorem which states that ointbar(E).bar(ds)=(q)/(epsilon_(0)) where ds is an element of area directed across the outward normal for the surface at every point .The integral is called electric flux.Any convenient surface that we choose to evalute the surface integral is called the Gaussian surface. Gauss throrem in electrostatics states that electric flux oint(E.ds)=(q)/(epsilon_(0)) where S is the Gaussian surface ,the electric field E is due to all the charges

DC PANDEY-ELECTROSTATICS-Check point 1.5
  1. The law goverening electrostatics is coulomb's law.In priciple coulomb...

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  2. A surface element vec(ds) = 5 hat(i) is placed in an electric field v...

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  3. A cube of side a is placed in a uniform electric field E = E(0) hat(i)...

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  4. Flux coming out from a positive unit charge placed in air, is

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  5. If the electric flux entering and leaving an enclosed surface respecti...

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  6. Charge of 2 C is placed at the centre of a cube. What is the electric ...

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  7. For a given surface the Gauss's law is stated asoint vecE.dvecA=0. Fro...

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  8. The total electric flux emanating from a closed surface enclosing an a...

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  9. The inward and outward electric flux for a closed surface in unit of N...

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  10. If the flux of the electric field through a closed surface is zero , ...

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  11. Consider the charge configuration and a spherical Gaussian surface as ...

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  12. q(1),q(2),q(3) and q(4) are point charges located at point as shown in...

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  13. The Gaussian surface for calculating the electric field due to a charg...

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  14. If Coulomb's law involved 1/r^3 instead of 1/r^2, would Gauss's law st...

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  15. Two parallel infinite line charges with linear charge densities +lambd...

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  16. An infinite line charge produces a field of 9xx10^(4) NC at a distance...

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  17. A charge of 17.7 xx 10^(-4)C is distributed uniformly over a large she...

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  18. From what distance should a 100 eV electron be fired towards a large m...

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  19. If the field near the earth's surface is 300V m^(-1) directed downward...

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  20. A thin spherical shell of metal has a radius of 0.25 m and carries a c...

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