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Hellec408

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Thread moved from the technical forums to the schoolwork forums

We are given a conducting solid sphere, and it is cut by a plane which has a minimum height r/2 from the centre of the sphere, which has radius r.

A charge Q is given to the smaller part of the conductor, and it is required to find the induced charge on the curved and flat surfaces of the other hemisphere, and also the force of interaction between the two parts of the sphere.

My initial approach was to apply Gauss law, as we know that electric field is always perpendicular to the conductor surface, and hence we can claim that field in both parts is radial and that the induced charges on the facing flat faces are equal and opposite. Then I assumed that since the gap between the faces was negligible, the potential throughout the sphere is constant, and thus the system is equal to a conducting sphere having a charge Q distributed evenly over it.

Am I correct in assuming thus?

How can the force of interaction be found in that case?

A charge Q is given to the smaller part of the conductor, and it is required to find the induced charge on the curved and flat surfaces of the other hemisphere, and also the force of interaction between the two parts of the sphere.

My initial approach was to apply Gauss law, as we know that electric field is always perpendicular to the conductor surface, and hence we can claim that field in both parts is radial and that the induced charges on the facing flat faces are equal and opposite. Then I assumed that since the gap between the faces was negligible, the potential throughout the sphere is constant, and thus the system is equal to a conducting sphere having a charge Q distributed evenly over it.

Am I correct in assuming thus?

How can the force of interaction be found in that case?