A fixed conducting channel needs several voltage rows to show the current law. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One volt gives two amps through the conducting channel

Hold conductance at 2 S. Voltage 1 V gives current 2 A.

I=GV=2 S1 V=2 AI=GV=2\ \text{S}\cdot1\ \text{V}=2\ \text{A}
Channel readoutA conducting state maps to current; a blocked state maps to zero.1 V1/2 ohm2 A

Two volts doubles the current

The same conductance with voltage 2 V gives current 4 A. Voltage is the changed source factor.

I=GV=2 S2 V=4 AI=GV=2\ \text{S}\cdot2\ \text{V}=4\ \text{A}
Channel readoutA conducting state maps to current; a blocked state maps to zero.2 V1/2 ohm4 A

Four volts makes the voltage-to-current line clear

Voltage 4 V gives current 8 A. The channel is ideal and ohmic here; noise and gating kinetics belong in later instrument lessons.

I=GV=2 S4 V=8 AI=GV=2\ \text{S}\cdot4\ \text{V}=8\ \text{A}
Channel readoutA conducting state maps to current; a blocked state maps to zero.4 V1/2 ohm8 A