Definition check: In network theorems, the Norton equivalent current corresponds to which quantity at the output terminals?

Difficulty: Easy

Correct Answer: the short circuit current

Explanation:


Introduction / Context:
The Norton and Thevenin equivalents simplify complex linear circuits. Correctly identifying the Norton current is essential for quick hand analysis and for converting between Norton and Thevenin forms.


Given Data / Assumptions:

  • Linear bilateral network assumptions apply.
  • We are concerned with the equivalent seen at two output terminals.
  • Independent sources are active; dependent sources are treated per standard procedures.


Concept / Approach:

The Norton form is a current source IN in parallel with an equivalent resistance RN. The defining current IN is by definition the short-circuit current at the output terminals (i_sc). RN equals the Thevenin resistance RTH, found by deactivating independent sources or via test sources when dependent sources exist.


Step-by-Step Solution:

To find IN, short the output terminals.Compute the resulting current from the network into the short: IN = i_sc.Keep RN = RTH to complete the Norton pair.


Verification / Alternative check:

Conversion check: The Thevenin equivalent voltage VTH equals IN * RN. Measuring either i_sc or VTH with RN provides mutual confirmation of the equivalence.


Why Other Options Are Wrong:

'The current through the load' depends on load value and is not an invariant equivalent parameter. 'Open-current from the source' is undefined; open-circuit relates to Thevenin voltage, not Norton current. 'None of the above' is incorrect because a standard definition exists.


Common Pitfalls:

Confusing i_sc (Norton current) with I_load at arbitrary loads; forgetting that RTH = RN during conversions.


Final Answer:

the short circuit current

More Questions from Circuit Theorems in AC Analysis

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