An ideal diode conducts only when its forward direction matches the source polarity in this circuit model. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A diode has a forward direction

With this source polarity, the shown diode direction gives a conducting path in the ideal fixed-drop model. Real diodes have curved current-voltage behavior; this model keeps one fixed forward drop.

forward directionconducting path\text{forward direction} \Rightarrow \text{conducting path}
Forward diodeThe diode orientation agrees with the source.12 V2 V5 ohm2 A+-2 V+-10 V

The forward budget closes

The source is 12 volts. The LED drop is 2 volts, so the resistor gets 10 volts.

Vsource=VLED+VR=2 V+10 V=12 VV_{\text{source}} = V_{\text{LED}} + V_R = 2\ \text{V} + 10\ \text{V} = 12\ \text{V}
Forward diodeThe diode drop and resistor drop close the KVL budget.12 V2 V5 ohm2 A+-2 V+-10 V

Reverse orientation blocks

Reverse the same diode with the same source and limiter. The ideal model draws no branch current arrow.

Ireverse=0 AI_{\text{reverse}} = 0\ \text{A}
Reverse diodeThe reversed diode is not a conducting edge.12 V2 V5 ohm

Forward current comes from the leftover voltage

For a forward-biased ideal LED, subtract the fixed drop first. The diagram shows the middle row.

VsVfRVRI7 V2 V5 ohm5 V1 A12 V2 V5 ohm10 V2 A17 V2 V5 ohm15 V3 A\begin{array}{c|c|c|c|c}V_s&V_f&R&V_R&I\\7\ \text{V}&2\ \text{V}&5\ \text{ohm}&5\ \text{V}&1\ \text{A}\\12\ \text{V}&2\ \text{V}&5\ \text{ohm}&10\ \text{V}&2\ \text{A}\\17\ \text{V}&2\ \text{V}&5\ \text{ohm}&15\ \text{V}&3\ \text{A}\\\end{array}
Forward diodeThe middle table row is the checked forward diagram.12 V2 V5 ohm2 A+-2 V+-10 V

Reverse orientation keeps current at zero

Reverse-biased rows do not claim a KVL loop through the diode. Changing source voltage does not create a conducting branch in this ideal model.

VsVfRVRI6 V2 V5 ohm0 V0 A12 V2 V5 ohm0 V0 A18 V2 V5 ohm0 V0 A\begin{array}{c|c|c|c|c}V_s&V_f&R&V_R&I\\6\ \text{V}&2\ \text{V}&5\ \text{ohm}&0\ \text{V}&0\ \text{A}\\12\ \text{V}&2\ \text{V}&5\ \text{ohm}&0\ \text{V}&0\ \text{A}\\18\ \text{V}&2\ \text{V}&5\ \text{ohm}&0\ \text{V}&0\ \text{A}\\\end{array}
Reverse diodeThe middle table row is the checked reverse diagram.12 V2 V5 ohm