The Norton equivalent resistance ($$Omega$$) at Terminals A-B is most nearly: 

A.   50
B.   60
C.   100
D.   120

1 Answer

DEMETRIOS LAMBROPOULOS

Updated on December 24th, 2020

Norton's theorem, like Thévenin's theorem, solves for the equivalent resistance in the circuit by shorting voltage sources and placing open circuits where ideal current sources are located. Once the 15V source is shorted, we see that the Norton equivalent resistance, RN, is calculated as follows:

Note: Resistors in parallel are represented with two verticle lines (||) and the equivalent resistance of N resistors in parallel is calculated as follows:

R1||R2||...||RN-1||RN = 1R1+1R2+...+1RN-1+1RN-1

 

RN = ((80Ω + 120Ω) || 50Ω)+60Ω          = (200 ||50) +60 = 1200+150-1+ 60          = 1200+4200-1+ 60          = 2005 + 60          = 40 + 60          = 100Ω  

Therefore we say that the answer is C. 100. 

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