As a supplementary read, if you want to learn more on the topic, the three keywords you need to search for:
- Clearance
- Creepage (or creepage distance)
- DIelectric strength
A
table of dielectric strengths on Wikipedia gives a rought feel of what values we’re talking about. Note that locally field strength depends on conductor shape. As somebody mentioned earlier, electric field will have very high value around sharp edges/points, easily exceeding the limit. We need to take that into account and not blindly assume that 5 mm gap can unconditionally withstand 15 kV in air. Otherwise you could just put on a pair of work gloves and hang from the nearby high tension line (which I strongly suggest not to do).
To all what has been written above, there is a small asterisk. It holds very well for the original scenario of the connector, a spark, and a fuse blowing. No worries about that! But it only remains true around the DC regime. I don’t know, how much did you learn so far. But don’t get too much attached to the notion of insulators not conducting current. Not in unconditional, absolute sense. Dielectric strength decreases with rising frequency, and also DC resistance gets replaced with frequency-dependent
impedance. The former will not be a practical problem unless you design chips or go into materials science, the latter will have no implications for electrical safety. But worth knowing this is only a simplification.