Grade 12 · Week 12 · Tuesday

Input Power Versus Useful Power

Objective: Define energy input, useful output, other transfers and power for the same observation interval.

45–60 minutes · Offline learning · Local evidence

Scientific reading

Choose the boundary and output goal

A device draws input energy and transfers some of it into the intended useful form. Other transfers can include thermal energy, sound or other forms, depending on the system. A complete simplified steady-run ledger writes E_input=E_useful+E_other, provided the machine has no net stored-energy change during the selected interval and no unlisted energy flows.

Calculate input and useful power consistently

For the same positive interval t, mean input power P_in=E_in/t and mean useful output power P_useful=E_useful/t. The difference is P_other=E_other/t, so P_in=P_useful+P_other under the stated accounting assumptions. Do not compare powers measured over unrelated time intervals without explaining why that is physically meaningful.

The word useful is a design choice

Useful does not mean energy appears from nowhere or that every other transfer must be thermal. A lamp is judged by the light it provides for an intended task; a heater may treat thermal energy as useful. Identify the actual function before assigning output categories. An ideal model may assume 75% useful output, but a real conversion efficiency requires measurements.

Example: two identical time windows

A synthetic device receives 400 J over 5 s and provides 300 J useful energy. Other transfers account for 100 J. Average input power is 80 W; useful power is 60 W and other-transfer power is 20 W. All values refer to the same 5 s window.

Key vocabulary

system boundary
Selection of devices and surroundings in the energy account.
input energy
Energy delivered into the selected device during the interval.
useful output
Energy transferred in the specified intended form.
other transfers
Accounted output not included as useful for the chosen task.
input power
Input energy per time, distinguished from useful output power.

Worked physics example

E_in=400 J, E_useful=300 J, E_other=100 J, t=5 s. P_in=80 W, P_useful=60 W, P_other=20 W. 80 W=60 W+20 W.

Show the system, time interval, conversion, numerical substitutions and units.

Student investigation notebook

Trace one energy-flow ledger and annotate arrows for useful output and other transfers. Compare input versus useful power with the same interval.

Browser-local notes only. Export a portable JSON copy.

Daily Retrieval · Four Questions

Open-book practice with explanations and an 80% correction target. Formal confidential midterms and finals are separate supervised processes.