Deeper Relation and Conservation Scans

Generator Power Energy Three-Row Scan

Generated voltage and current close both power and energy ledgers. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four volts at two amps makes eight watts

Voltage 4 V and current 2 A make power 8 W; over 3 s the energy is 24 J.

P=4×2=8,E=8×3=24P=4\times2=8,\quad E=8\times3=24
Generator power scanVoltage and current close power, then time closes energy.V=4 VI=2 AP=8 WE=24 J

More voltage raises power

Voltage 6 V and current 2 A make power 12 W; over 3 s the energy is 36 J.

P=6×2=12,E=12×3=36P=6\times2=12,\quad E=12\times3=36
Generator power scanVoltage and current close power, then time closes energy.V=6 VI=2 AP=12 WE=36 J

More current and more time raise energy

Voltage 6 V and current 3 A make power 18 W; over 4 s the energy is 72 J.

P=6×3=18,E=18×4=72P=6\times3=18,\quad E=18\times4=72
Generator power scanVoltage and current close power, then time closes energy.V=6 VI=3 AP=18 WE=72 J