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It would have to be placed in parallel with the light output to do anything. Standard capacitors are spectacularly un-energy-dense so you'd want a super-capacitor for it to last more than a few seconds.
That's pretty much all the standlight in a basic rear light is, except there are usually some diodes and resistors and things to regulate the charging voltage and slow down the discharge current a bit.
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As @grams said!!! Thank you for chipping in with the expert knowledge.
Dunno why I’m so poor with electrics, though I had a really boring physics a level teacher so maybe that’s it.
I’ve been advised once to simply add a capacitor in series (?) to the connection, though a) I may be wrong and b) can someone more knowledgeable about wiring chip in please?
Yours, a regretfully electro-phobic technology Teacher.