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Ohm's Law & Closed Circuit EMF Equation

闭合电路欧姆定律与电功率公式

I=R+rE​,U=E−Ir,P=UI=I2R

Theoretical Identity Description:

Relates current (I) in a closed circuit to source EMF (E), external resistance (R), and internal resistance (r). Terminal voltage U decreases linearly with current.

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Rigorous Derivation Tree

2 Logical Steps
Step 1check_circleValid Deduction
I=R+rE​,U=E−Ir,P=UI=I2R

Foundational identity statement defined under standard mathematical conditions.

Step 2check_circleValid Deduction
I=R+rE​,U=E−Ir

Targeted algebraic evaluation and parameter substitution.

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CSCA Exam Triggers & Traps

High-Yield Exam Focus
psychologyProblem Pattern Recognition

Use for dynamic circuit analysis, voltmeter/ammeter internal resistance corrections, and maximum power transfer theorem.

errorCommon Examination Pitfalls

Terminal voltage U equals EMF (E) only in an open circuit (I = 0). Under load, U is always strictly less than E.

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