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A charge is enclosed by a Gaussian spherical surface of radius . If the radius is doubled, then the outward electric flux will:

  1. A
    Be doubled
  2. B
    Increase four times
  3. C
    Be reduced to half
  4. D
    Remain the same

Solution & Step-by-step Explanation

According to Gauss's Law, the total electric flux through a closed surface depends only on the net charge within that surface:

Since the charge enclosed remains even if the radius of the sphere is doubled, the flux remains the same.

Practice this question

Try it yourself before checking the explanation above.

A charge is enclosed by a Gaussian spherical surface of radius . If the radius is doubled, then the outward electric flux will:
A
Be doubled
B
Increase four times
C
Be reduced to half
D
Remain the same

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ElectrostaticsGauss Law

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