Question #22026

if the electric field of a point charge were proportional to 1/r3 instead of 1/r2,would gauss law still be valid?Explain

Expert's answer

Gauss law will not be valid for field which is not 1/r^2That is because area of the surface has the same dependence1/r^2 where r is typical size region.

When integrating the flux we have descent of fieldcompensated with increase of area.

If we have 1/r^3 field descent will be bigger and the Gausslaw will not hold.

When integrating the flux we have descent of fieldcompensated with increase of area.

If we have 1/r^3 field descent will be bigger and the Gausslaw will not hold.

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