You are misunderstanding what the FET actually does. Though Mac is right of course, you may not understand those terms yet. Please see the bottom of this post.
From what I can see in the first image, you have the big resistor as a load. This should make the resistor get warm. Do you have the supply set to 2.1V? I think I already answered that question, but it seems to that you set the power supply to 2.1V. Common supplies are variable voltage. Voltage does not get pulled. So it’s not pulling 2.1V, you are pushing 2.1V. Current pulls it’s power. So if you have a 5A motor, you can’t push the 5A to the motor. The motor will only use what it needs. So, to determine what voltage the Gate needs, you need to look at the datasheet. If you can post what the model the FET is, we can tell what that voltage is.
The Fet is just a “switch.” The gate turns off or on the Source to Drain. So let’s say that your Gate voltage is supposed to be 5V, then you would need to provide 5V to the Gate to “close” the switch. Think of the Gate as the stem on a toggle switch but instead of using your finger to flip a switch, you are using voltage to switch it.
So, for you to see action when you apply the 5V, you need to have another circuit on the Source and Drain. You can experiment this by using a regular LED and resistor.
As you can see, the resistor labeled “Load” is simulating load. So if you want to turn and off an LED, just place a LED in series between the 12V source and the resistor. Don’t be worried about the 12V source, it could be any voltage (please do not use the house mains).
Note the green “Net” labeled "Arduino GND. This is telling you that the Drain on the FET needs to be connected to the Arduino’s Ground pin.
So once you apply 5V (this could be a OUTPIN on an Arduino and set to HIGH to provide the voltage source), your LED will turn on (and off if you set the pin to LOW). This is how we switch high current/voltage loads that an Arduino can’t handle on it’s own.
The 1K resistor on the Gate pin protects the Arduino from damage.
*This is an important note to remember. If you are building a circuit with an Arduino, Grounds must be connected.
You can replace an Arduino for whatever microcontroller you are using. If you don’t have a controller, you can just apply 5V from a supply.
You can also power everything from one supply source.
So if you have +2v from gate to source (>Vgs threshold)…
Vgs = the voltage to fully turn on the FET. Different FETs have different Gate voltage.
the resistance between the drain and source should be small
He is just telling you that the "switch" is toggled on. That any amount of current can pass through it. *Note that "any" is not a statement to use +20A. The FET can only handle so much current before it starts heating and can burn your fingers. This is where a heatsink comes in.* The datasheet tells you the maximum ratings.