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If i were to supply the system with 14.5 will 10 volts drop appear across the load, and it will not drop?
Yes it will regulate precisely providing more than 1 ampere. For more precision see precations in post.
For min 750 ohms, 13ma is drawn. Normally adjustments does not require to be at extreme + or- . A resistor in series with pot is all you need. It also helps to extend usable range with more precision. If there is no resistance in series during adjustment pot is rotated to extremes it effectively shortens the supply and burns. For just 13ma shunt regulator can also be used easily.I will be adjusting the load resistance from between 750 - 100k ohms and the voltage drop needs to stay at 10 volts.
A voltage reference circuit contain all the components needed in order to limit the current output also. The circuit is designed to provide a high precision voltage reference to minimize voltage drift and to operate over a large temperature range. No need for adjustments, just power up and you obtain the requested 10V power supply including the protection for short-circuit. For additional details need to read datasheet.A voltage reference is an electronic device that produces a fixed (constant) voltage irrespective of the loading on the device, power supply variations, temperature changes, and the passage of time. The most common voltage reference circuit used in integrated circuits is the bandgap voltage reference. A bandgap-based reference (commonly just called a 'bandgap') uses analog circuits to add a multiple of the voltage difference between two bipolar junctions biased at different current densities to the voltage developed across a diode