A spherical conducting shell has a net charge of +5Q. At the center of the shell, there is a point charge of +Q. Which of the following gives the charge on the inner surface of the shell?
-Q, 5Q, or 6Q
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To determine the charge on the inner surface of the shell, we need to consider how the charges distribute themselves on the conducting shell.
When a charge is placed inside a conductor, it induces an equal and opposite charge on the inner surface of the conductor. This is due to the redistribution of charges caused by the repulsion between like charges and attraction between opposite charges.
In this case, we have a point charge of +Q at the center of the shell. Due to the repulsion, the charges on the inner surface of the shell will distribute themselves in such a way that they cancel out the electric field inside the shell. We know that the net charge of the shell is +5Q.
Since the inner surface of the shell needs to have a charge that cancels out the electric field of the central charge, the charge on the inner surface of the shell will be -Q.
Therefore, the answer is -Q.