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What is the resistance between A and B in the figure given below?

  

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What is the resistance between A and B in the figure given below?

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The three resistance of 20 ohm, 10 ohm and 20 ohm on the extreme right side are in series.

So, the resultant of these three resistance = 20 + 20 + 10

= 50 ohms.

This 50 ohms is in parallel with 30 ohms. So resultant of these two will be

\(\frac{1}{R}\) = \(\frac{1}{30}\) + \(\frac{1}{50}\)

= \(\frac{1}{R}\) = \(\frac{80}{1500}\)

R = 18.75 ohms

Now, the resistances 10 ohms, 18.75 ohms and 10 ohms are in series.

Therefore, resultant resistance = 18.75 + 10 + 10

= 38.75 ohms

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