(Solved): The Van de Graaff generator, diagrammed in the figure, is an electrostatic device that can raise th ...

The Van de Graaff generator, diagrammed in the figure, is an electrostatic device that can raise the metal dome to a high voltage. In the device, charge is delivered continuously to the high-potential dome by means of a moving belt of insulating material. The belt is charged at point $$\mathrm{A}$$ by means of a discharge between comb-like metallic needles and a grounded grid. The needles are maintained at a positive electric potential of typically $$10^4\mathrm{V}$$. The positive charge on the moving belt is transferred to the dome by a second comb of needles at point B. Because the electric field inside the dome is negligible, the positive charge on the belt is easily transferred to the dome from its interior regardless of its potential. Suppose the generator is operating so that the potential difference between the high potential dome B and the charging needles at $$\mathrm{A}$$ is $$11.0\mathrm{kV}$$. Calculate the power (in $$\mathrm{W}$$ ) required to drive the belt against electrical forces at an instant when the effective current delivered to the dome is $$488?\mathrm{A}$$.