Which theorem states that any linear source can be replaced by an equivalent current source in parallel with a resistor?

Which theorem states that any linear source can be replaced by an equivalent current source in parallel with a resistor?

• A. Kirchhoff's Law
• B. Norton's Theorem
• C. Principle of Superposition
• D. Thevenin's Theorem

Answer: (B)

Norton’s theorem says any linear network connected to two terminals can be replaced by a current source in parallel with a resistor. The current source value is the short-circuit current that flows when the terminals are shorted, and the parallel resistor equals the network’s resistance seen from the terminals with independent sources deactivated (using a test source if dependent sources are present). This makes it easy to analyze the load, because the load current is determined by the current source splitting between the parallel resistor and the load. You can move between Norton and Thevenin forms: Thevenin uses a voltage source in series with a resistor, with V_th = I_N × R_eq. The question’s statement matches Norton’s theorem exactly.

Norton’s theorem says any linear network connected to two terminals can be replaced by a current source in parallel with a resistor. The current source value is the short-circuit current that flows when the terminals are shorted, and the parallel resistor equals the network’s resistance seen from the terminals with independent sources deactivated (using a test source if dependent sources are present). This makes it easy to analyze the load, because the load current is determined by the current source splitting between the parallel resistor and the load. You can move between Norton and Thevenin forms: Thevenin uses a voltage source in series with a resistor, with V_th = I_N × R_eq. The question’s statement matches Norton’s theorem exactly.