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Chapter 4: Q5DQ (page 744)

A spherical Gaussian surface encloses a point charge q. If the point charge is moved from the canter of the sphere to a point away from the canter, does the electric field at a point on the surface change? Does the total flux through the Gaussian surface change? Explain.

Short Answer

Expert verified

The electric field E on the surface do changes, however the electric flux doesn鈥檛 change

Step by step solution

01

From Coulomb’s law

From the equation of the Coulomb鈥檚 law E=14蟺蔚oqr2, we can see that the electric field is inversely proportional to the square of the distance represented by r, therefore any change in the distance between the charge will also change the electric field.

02

Total flux through the Gaussian surface

To Calculate the electric flux, we can apply the Gauss鈥檚 formula:桅E=Qenci蔚o

Gauss鈥檚 law states that the electric flux depends on the charges inside the surface of the object. As the charges inside remains same so the electric flux will also not change.

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