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The metering switch is merely a display selector. The meter can only display one value at a time and the 4-way slider switch selects the value to be displayed.

The output voltage is determined, when in independent mode by the setting of the voltage adjustments. the output current is determined by the load that you apply to the terminals and the voltage appearing there.

In tracking mode, voltage B follows what A is set to, depending on how you have set the 2-way mode switch.

The 1.45 volts is the drive voltage that the supply provides with NO load. When under load the output is drooping down to 1.36 which means the regulation is somewhat poor. Perfect regulation would maintain the set voltage irrespective of the current load.

You say you are charging 3 cells in series and only getting a battery voltage (batteries are a collection of cells) of 1.3V. It appears that your cells are either defective or extremely depleted and will need in excess of 10 hours of charge to recover.

The green terminal is probably attached to the casing and is used, if desired to connect the casing to the circuit you are working on to maintain an earth reference. In normal circuitry work you can completely ignore it. You might care to test to see if it is connected to any of the output terminals - it shouldn't be!

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The 1.45 volts is the drive voltage that the supply provides with NO load. When under load the output is drooping down to 1.36 which means the regulation is somewhat poor. Perfect regulation would maintain the set voltage irrespective of the current load.

No.
The 1.45 was the voltage you needed to have in order to push 120mA through your battery.

I agree Mike, I misread the OP’s text