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  • Consider a region inside which there are various types of charges, but the total charge is zero. At points outside the region A. The electric field is necessarily zero.

Consider a region inside which there are various types of charges, but the total charge is zero. At points outside the region
A. The electric field is necessarily zero.
B. The electric field is due to the dipole moment of the charge distribution only.
C. The dominant electric field is \alpha \frac{1}{r^3}, for large r, where r is the distance from an origin in this region.
D. The work done to move a charged particle along a closed path, away from the region, will be zero.

Answers (1)

The correct answers are the options (c,d)

Explanation: There are charges present inside the surface, and their sum is zero. In equation

\phi _{3}=\int E.dS=\frac{q}{\varepsilon _0}

E is the electric field due to all the charges present in and out of the gaussian surface. Therefore, there must be dipoles present inside the surface.

So, at any point outside the region w.r.t the dipoles inside the region the dominant electric field \alpha \frac{1}{r^3} for large r.

Also, the electric field is conservative, and work done to move a charge on a closed path away from the region will be zero. Here c and d are correct.

Posted by

infoexpert21

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