Cheapest and "Smallest" way to cut 6.5v to 5v

Not a meaningful concept. :upside_down_face:

The only consequence of the excess voltage, is increased operating temperature.

The standard "Songle" relay operating at 90 mA has a coil resistance of 55 Ohms. At 5 V it will dissipate 450 mW; at 6.5 V it will dissipate 770 mW. It will get a little warm if actuated for long periods.

To drop 1.5 V at 90 mA, you need a resistor of about 17 Ohms. The nearest common value is - well either 15 or 18 Ohms would be just perfect! :sunglasses:

Not a good example though. :grin:

470 or 560 would be the nearest common values.

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