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Boss lesson · The Black Box Final
Exam-hall rules, one sealed module
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Exam-hall rules, one sealed module

This is the boss. No calculator — the readings are pinned so every line lands in your head. One sealed module, one long problem, and every answer feeds the next: the two meter readings give RThR_{Th}, the open-circuit reading is VThV_{Th} for free, those two give INI_N, and VThV_{Th} with RThR_{Th} gives the matched-load power. Write each line down as you go — one early slip rolls all the way to the last one.

Watch the two places this chapter takes its marks. The −1-1 in the Thevenin relation, which separates the module's own resistance from the whole loop. And the 4 in the matched-load power, which is the difference between a resistor and a smell.

Note what the last line actually asks. It does not want another number; it wants a DECISION about a part on the bench, the way a real check does. The arithmetic is only there to earn you the right to make it.

Everything in the chapter rides in this one box. 5★ under par here is the chapter crown. Clock in.

RThVOCRLVL

RTh=RL(VOCVL−1)R_{Th} = R_{L} \left( \frac{V_{OC}}{V_{L}} - 1 \right)

  • RThR_{Th}= Thevenin resistance (resistance)
  • VOCV_{OC}= Open-circuit voltage (voltage)
  • VLV_{L}= Loaded terminal voltage (voltage)
  • RLR_{L}= Load resistance (resistance)
Thevenin Resistance from an Open-Circuit and Loaded Measurement solver →
VThRThINRTh

IN=VThRThI_{N} = \frac{V_{Th}}{R_{Th}}

  • INI_{N}= Norton current (electric current)
  • VThV_{Th}= Thevenin voltage (voltage)
  • RThR_{Th}= Thevenin resistance (resistance)
Norton Current from the Thevenin Equivalent solver →
VThRThPmaxRTh

Pmax=VTh24RThP_{max} = \frac{V_{Th}^{2}}{4 R_{Th}}

  • PmaxP_{max}= Maximum load power (power)
  • VThV_{Th}= Thevenin voltage (voltage)
  • RThR_{Th}= Thevenin resistance (resistance)
Maximum Power Transfer to a Matched Load solver →
no calculator in the boss room — the numbers are chosen to fit in your head