how can a nuclear plant be used to produce electricity for our homes?

Answer 1

The nuclear energy produces heat and that creates steam from water (through heat exchanges so the steam is not radioactive like the fuel). That steam then drives turbines just as it would in a coal or gas fired plant. Those turbines drive generators and supply the steady (base-load) power that is distributed for use in homes..

Answer 2

do you know how most power generating plants work in general? They use fuel to superheat water into steam. That steam is then used to run a turbine. Connected to an electric motor, the turbine spins, creating electrical current. That current feeds the power grid, powering our homes, businesses, and industries.

Nuclear power just used fissionable material, in this case, Uranium238, as fuel. As the fuel naturally fissions (the reaction can be controlled), it heats up water.