Question 1.SA.3: What is the resistance of the following circuit as seen from......

Electrical Engineering Fundamentals [1024827]

What is the resistance of the following circuit as seen from the battery?

1.SA.3

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No current will flow through the two 4 Ω resistors, the two 3 Ω resistors, or the 7 Ω resistor. The current finds the path of least resistance through the high-lighted short-circuit segment of the circuit. Therefore, the circuit reduces to one 6 Ω in series with two 12 Ω in parallel.

R= 6  Ω+\frac{(12  Ω).(12  Ω)}{(12  Ω+12  Ω)}

R = 6 Ω+6 Ω = 12 Ω

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