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Find the equivalent resistance of a resistive network with three resistors: R1 = 2 Ω (ohm),...

Find the equivalent resistance of a resistive network with three resistors: R1 = 2 Ω (ohm), R2 = 7 Ω (ohm), and R3 = 9 Ω (ohm), where the series combination of R1 and R2 is in parallel with R3. In other words: (R1 in series with R2) in parallel with R3. Quote your answer in Ω (ohm) rounded to one decimal place.

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Answer #1

Let the equivalent resistance of the resistive network is R.

The equivalent resistance for the two series resistance R1 and R2 is Rs.

  

Now Rs and R3 are in parallel to each other.

The total equivalent resistance for the resistive circuit is

  

  

  

The equivalent resistance of a resistive network with three resistors is 4.5 .

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