The dome of an electrostatic generator is a spherical conductor of radius 13cm. It is initially charged so that the electric potential at the surface is 4.5kV. A smaller isolated sphere of radius 5.2cm, initially uncharged, is brought near to the dome. Sparking causes a current between the two spheres until they reach the same potential. Assume that any charge on a sphere may be considered to act as a point charge at its centre. Calculate the charge that is transferred between the two spheres.
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