The metal cap of the gold leaf electroscope is connected to the positive terminal of an EHT which is powered on.
My book said the size of the metal cap will not change the charge distribution. Therefore the divergence of the gold leaf will not charge.
But I think that when the size of the metal cap increase, the average positive charge per surface area decrease, so the magnitude of charge in the gold leaf decrease, the repulsive force is less then it is less diverge.
Why am I wrong? Thanks