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You need to specify how much current you need at 5kV for your experiment.
The model you are pointing to is AC voltage not DC. There is a lot of difference (electrically speaking, also probably from the chemical point of view but I'm not referring to this) since steady state current for DC is going to be very low, but for AC depending on the distance between electrodes and area, will surely let more current thru.Insulation resistor testers are normally DC. You'd need something like an Hipotronics that can generate both AC and DC, https://www.isre.com/specs/hipotronics-hd100-series.pdf
Don’t be so cheap, that is not safe for many reasons. Find a proper 5kv adjustable power supply or module on eBay
Let's say i've done the circuit. if i tie 1k resistor to my multimeter's red cable, i can safely (without burning my max 1000volt dc multimeter) measure it's voltage?