A Gaussian cube is shown to the left of a positively charged particle. Consider

Question

A Gaussian cube is shown to the left of a positively charged particle. Consider the statements below: Amber: "The electric flux through every side of the cube will be zero because there is no charge inside the cube. " Bo: "Since there is no charge inside the cube, the net electric flux through the cube will be zero. However, each side will have non-zero electric flux values which, when added together, cancel out. Caleb: "The net electric flux on the cube will not be zero. The number of electric field lines on the side of the cube closest to the particle will be greater than the lines through the opposite side. It will therefore be impossible for the electric flux through each side to cancel." Which of these students is correct? Amber Bo Caleb None of them Explain.

Explanation / Answer

Amber: Gauss law states that net flux through closed surafce will be zero if there is no charge inside the surface.

and there is charge nearby hence some field lines will pass through each surface hence there will non-zero flux through each of the face.

hence Amber is Incorrect.

Bo:

and there is charge nearby hence some field lines will pass through each surface hence there will non-zero flux through each of the face.

and from Gauss law, total flux through all the faces will be zero.

Correct.

Caleb: flux will be zero as inclosed charge is zero.

Ans: ONly Bo is correct.

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