Electronic – use two 10 ohm 5 watt resistors instead of one 5 ohm 10 watt resistor

For a variable lab bench supply you want one that has adjustable voltage that once set to a particular selection can supply a whole range of current to the load whilst the voltage stays constant.

Your first idea of using the pot between the +12 to -12V will not do do that. Pull any amount of current from the wiper of the pot and the voltage will change.

The second idea is a hack job modification done to the a switch mode power supply. From the description that you snipped this relates to a very specific model range of power supply and trying to apply this in general to any PC power supply from any vendor is not going to work. Not all power supplies use the same circuit configuration or even the same control chips. To be able to modify the behavior of any given switch mode power supply requires that you have good knowledge of how the circuitry of that supply is designed and how it works.

There is another reason not to be screwing with trying to make a switch mode power supply adjustable. Most switch mode controllers, especially the lower cost designs supporting high current outputs, are design optimized to vary the PWM of the switching output over a range to satisfy the varying current load range for the output. If you try to modify the feedback network to make the switcher produce other output voltages the design optimizations will no longer apply. As a result the supply may exhibit a number of undesirable behaviors including:

• The output may not adjust over a very wide range.
• The output may not be able to supply the full range of current at many output voltage settings.
• The switching regulator could become unstable and oscillate like crazy. This behavior could vary depending upon where the adjustment pot is set.
• The ripple of the output could be extremely high.

There could be other problems as well. Personally I think you would be better off purchasing a power supply specifically made for lab bench use. There are variable supplies available online that are fairly reasonable in cost. With these you also get the ability to vary the current that can be delivered to the load. This is a very useful thing when powering up a new circuit because you can set the supply up to protect the circuit in case there is an error in the circuit that would cause excess current flow that could potentially blow out some components.

Resistors in parallel dissipate proportional amounts of the total power from each depending on the proportion of the current that is flowing through them.

Two equal resistors in parallel will share the current equally. Ergo, they will dissipate half the total power each.

So yes, two equal resistors of twice the value and half the power in parallel will handle the same power as the original resistor.

To reiterate the maths differently:

Original = 1W, 50Ω. Current would be \$\sqrt{1/50}\$ = 0.141A.

100Ω resistor with half the current flowing would be \$(0.141/2)^2) \times 100\$ = 0.5W.