Forward applied voltage lowers the toy barrier ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Forward bias lowers the effective barrier

Built-in voltage 3 volts minus applied voltage 2 volts leaves 1 volt.

Veff=32=1V_{\mathrm{eff}}=3 - 2=1
Forward bias barrierForward means subtraction in this toy ledger.q=2 CV_bi=3 VV_app=2 Vpolarity=forwardV_eff=1 VE_barrier=2 J

The lowered barrier has two joules

Charge 2 coulombs times 1 volt gives 2 joules.

E=21=2 JE=2\cdot 1=2\ \mathrm{J}
Lowered barrier energyOnly the exact energy ledger is claimed.q=2 CV_bi=3 VV_app=2 Vpolarity=forwardV_eff=1 VE_barrier=2 J