Closing the switch turns the output node into an ideal low node and sets the pull-up current. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Closing the switch gives a path to ground

The closed switch connects the output node to the return node, so the ideal output voltage is 0 volts.

Vout=0 VV_{\text{out}} = 0\ \text{V}
Switch pulls lowThe closed switch pulls the output node low.12 V6 ohmclosed2 A+-0 V+-12 VLOW

The pull-up current is exact

The source is 12 volts and the pull-up is 6 ohm, so the current is 2 amperes.

I=VR=12 V6 ohm=2 AI = \frac{V}{R} = \frac{12\ \text{V}}{6\ \text{ohm}} = 2\ \text{A}
Switch pulls lowThe current arrow is computed from the closed path.12 V6 ohmclosed2 A+-0 V+-12 VLOW