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A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre
  • a)
    decreases as r increases for r < R and for r > R
  • b)
    increases as r increases for r < R and for r > R
  • c)
    zero as r increases for r < R, decreases as r increases for r > R
  • d)
    zero as r increases for r < R, increases as r increases for r > R
Correct answer is option 'C'. Can you explain this answer?
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A hollow metal sphere of radius R is uniformly charged. The electric f...
In a uniformly charged hollow conducting sphere
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A hollow metal sphere of radius R is uniformly charged. The electric f...
The electric field due to a uniformly charged hollow sphere at a distance r from the center depends on whether r is less than or greater than the radius of the sphere, R.

a) If r < />
Inside the hollow sphere, the electric field is zero. This is because the electric field due to each small element of charge on the sphere cancels out with the electric field due to its opposite element of charge on the opposite side of the sphere. Therefore, the electric field is zero for r < />

b) If r > R:
Outside the hollow sphere, the electric field is non-zero and decreases as r increases. This is because the electric field due to each small element of charge on the sphere decreases with increasing distance. The electric field is inversely proportional to the square of the distance from the center, so as r increases, the electric field decreases.

Therefore, the electric field due to the hollow metal sphere at a distance r from the center decreases as r increases for r > R.
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A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centrea)decreases as r increases for r < R and for r > Rb)increases as r increases for r < R and for r > Rc)zero as r increases for r < R, decreases as r increases for r > Rd)zero as r increases for r < R, increases as r increases for r > RCorrect answer is option 'C'. Can you explain this answer?
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