Final answer:
The charge of the nucleus of an atom with 6 protons and 6 neutrons is +6, as neutrons are neutral and do not affect the nuclear charge.
Step-by-step explanation:
The charge of an atom's nucleus is determined by the number of protons it contains, as protons carry a positive charge. If an atom has 6 protons, as stated in the question, then it would have a nuclear charge of +6 because each proton has a charge of 1+. Neutrons, on the other hand, are neutral and do not contribute to the electrical charge of the nucleus. Therefore, for an atom with 6 protons and 6 neutrons, the charge of the nucleus would be +6, taking into account the neutral charge of neutrons.