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Chapter 4: Q4DQ (page 744)

A certain region of space bounded by an imaginary closed surface contains no charge. Is the electric field always zero everywhere on the surface? If not, under what circumstances is it zero on the surface?

Short Answer

Expert verified

The electric field doesn鈥檛 need to be zero on the surface.

Step by step solution

01

Gauss’s law

According to Gauss鈥檚 law the electric flux through a surface depends only on the number of charges enclosed by the surface. It doesn鈥檛 depend on the size, shape or direction of the surface.

02

Electric flux on the given surface

The electric field doesn鈥檛 need to be zero on the surface. As only the total electric flux through the surface is zero. Therefore, the electric field will be zero everywhere else on the surface of the object.

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