>is it possible to make a [...] small scale reactor
yes, and the most well known example has been posted in this thread
>...[safe]...
how safe?
could you make it so no one dies? almost certainly, if it is very small
could you make it so it would pass inspection? with the skills, equipment and budget available to you: no
>capable of providing energy for a medium class home?
RTGs have been mentioned, but for a normal fission reactor: no this probably isn't practical for a single home for any amount of money, the smallest economically viable reactor would be too large
>How much would be it’s price ?
interesting question
it depends on whether this is a one-off where you eat all the R&D and procurement costs, or whether it's a large commercial enterprise
Rolls Royce is working on SMRs, small reactors, suitable for powering remote towns/villages and large single factories
they're less economically efficient than normal PWR/AGR/Gen IVs, but they overcome a big problem in nuclear finance, which is the high buy in price
in other words, you can invest in them without putting all your eggs in one basket, and it opens up nuclear investment from just government to commercial
>How large would be the area of effect?
depends on scale of reactor, means of containment, and how the contaminants are spread around which is affected by wind direction, but more so by whether you are moving the reactor around, and whether you realise it has failed
see the goiania incident, it was only so harmly because the scrappers kept taking it places
for another example here, governments do not consider a dirty domb a legitimate physical threat, it's only a psychological threat due to the radiation fear it would cause in the population

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Home nuclear reactor: Sci fi or possibility