As I understand it, cosmic radiation is one of the biggest dangers/problems to space exploration. Some cursory research seems to suggest that it wouldn't take very strong magnetic fields to deflect this radiation; a 1T field can be generated with less than 5A (though area of the field would be the biggest question).

So is there a reason a space station or other body wouldn't just generate their own magnetosphere to deflect this radiation?

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    $\begingroup$ I have a question in return: what research have you done in this area that would suggest generating a 1T field would be a) doable, and b) enough? $\endgroup$
    – Rory Alsop
    Feb 18, 2019 at 17:56
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    $\begingroup$ A superconducting one Tesla magnetic field generator would be far too heavy for an astronaut to carry. $\endgroup$
    – Uwe
    Feb 18, 2019 at 17:56
  • $\begingroup$ related "mini-magnetosphere" question: Is NASA doing research on “mini-magnetospheres” to protect crew from radiation in space? $\endgroup$
    – uhoh
    Feb 20, 2019 at 12:50
  • $\begingroup$ To add to @Uwe 's answer, I will refer you to a paper, titled 'Active magnetic radiation shielding system analysis and key technologies'. If you read through it you will have been better understanding of the active shielding. dx.doi.org/10.1016/j.lssr.2014.12.004 $\endgroup$
    – MyTwoCents
    Feb 22, 2019 at 22:09