A divider output is a checked node voltage before anything else is attached to it. 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 divider splits the source voltage

The top resistor is 3 ohm and the bottom resistor is 6 ohm.

Rtotal=3 ohm+6 ohmR_{\text{total}} = 3\ \text{ohm} + 6\ \text{ohm}
Unloaded dividerThe output node is between the two resistors.12 V3 ohm6 ohm4/3 A+-4 V+-8 Vtopoutputbottom

The output is the lower drop

The checked current is fractional, so the lower resistor has 8 volts across it.

Vout=IRbottom=8 VV_{\text{out}} = I R_{\text{bottom}} = 8\ \text{V}
Unloaded dividerThe output is checked by the lower voltage drop.12 V3 ohm6 ohm4/3 A+-4 V+-8 Vtopoutputbottom