A -2.72 ìC charge is placed at the center of a conducting spherical shell, and a total charge of +6.35 ìC is placed on the shell itself. Calculate the total charge on the outer surface of the conductor.
To calculate the total charge on the outer surface of the conductor, we need to consider the concept of charge conservation. According to Coulomb's law, the total charge inside a closed conductor is always zero.
In this case, we have a conducting spherical shell with a charge of -2.72 μC at its center and a total charge of +6.35 μC placed on the shell itself.
Since the charge on the inside of the conductor is zero, the -2.72 μC charge at the center must be canceled out by an equal and opposite charge on the inner surface of the shell.
Therefore, the total charge on the inner surface of the shell is +2.72 μC.
Now, to calculate the total charge on the outer surface of the conductor, we subtract the total charge on the inner surface from the total charge on the shell:
Total charge on the outer surface = Total charge on the shell - Total charge on the inner surface
Total charge on the outer surface = +6.35 μC - 2.72 μC
After subtracting the values, the total charge on the outer surface of the conductor is +3.63 μC.