The Norton current is the _______.

Question

Examoogle · Accepted Answer

short circuit current

Explanation: The Norton current ($I_N$) is defined as the current that flows through the terminals of a network when they are short-circuited. It represents the source current of the equivalent Norton circuit model when placed in parallel with the Norton resistance ($R_N$).

Working Principle: According to Norton's Theorem, any linear active network with voltage/current sources and resistors can be replaced by a single constant current source $I_N$ in parallel with a resistance $R_N$. To find $I_N$, the load terminals are shorted, and the resulting current flowing through this short circuit is calculated using mesh or nodal analysis techniques.

Key Formulas: $I_N = I_{SC}$ — The Norton current is equal to the short-circuit current across the terminals.; $R_N = R_{Th} = \frac{V_{OC}}{I_{SC}}$ — The Norton resistance is calculated using open-circuit voltage and short-circuit current.

Key Points: Norton's theorem simplifies a complex circuit to a single current source in parallel with a resistor.; To calculate $I_N$, external load resistors are removed, and the output terminals are shorted.; Independent sources remain active during $I_N$ calculation, while dependent sources are kept active if present.

Advantages: Simplifies analysis of complex networks with multiple sources.; Efficient for determining current through a variable load.

Disadvantages: Requires careful handling of dependent sources during calculation.

Applications: Maximum power transfer theorem problems.; Simplifying sub-circuits for complex power system analysis.

Additional Info: Norton current is synonymous with Short-Circuit Current ($I_{SC}$).. Option B is incorrect because open-circuit current is zero in a shorted terminal, and the open-circuit voltage ($V_{OC}$) is used to find Norton resistance, not the current.

Answer: A is correct — The Norton current is equivalent to the short-circuit current measured across the terminals of a network.

Exam Tip: Always remember: To find the Norton current, short the terminals; to find the Thevenin voltage, open the terminals. They are dual concepts.

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