A fixed current and factor make flux the only changed coupling source. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Flux row 1 scales toy coupling energy

Current 3 and factor 1 stay fixed while flux source 1 sets the energy row.

gIΦ=131=3g I\Phi=1\cdot3\cdot1=3
Flux coupling row 1The toy coupling check keeps flux as the changed source.current=3 Aflux=1 WbcouplingFactor=1couplingEnergy=3 J

Flux row 2 scales toy coupling energy

Current 3 and factor 1 stay fixed while flux source 2 sets the energy row.

gIΦ=132=6g I\Phi=1\cdot3\cdot2=6
Flux coupling row 2The toy coupling check keeps flux as the changed source.current=3 Aflux=2 WbcouplingFactor=1couplingEnergy=6 J

Flux row 3 scales toy coupling energy

Current 3 and factor 1 stay fixed while flux source 4 sets the energy row.

gIΦ=134=12g I\Phi=1\cdot3\cdot4=12
Flux coupling row 3The toy coupling check keeps flux as the changed source.current=3 Aflux=4 WbcouplingFactor=1couplingEnergy=12 J

Flux source changes the toy energy linearly

The rows keep current and factor fixed. The coupling-energy output therefore follows the flux source one-for-one.

ΦIgE1313231643112\begin{array}{c|c|c|c}\Phi&I&g&E\\1&3&1&3\\2&3&1&6\\4&3&1&12\\\end{array}
Flux source scanThe largest-flux row is displayed.flux=4 gives energy=12