Question:

Published on: 28 November, 2022

**Find V _{AB} from the circuit if all the resistances are of same value of 1 Ω.**

**Fig. 20(a)**

Answer:

Redraw the Fig. 20(a), we have

Fig. 20(b)

The resistance P and Q are in Series, the equivalent resistance R_{1}=1+1=2Ω

The resistance R_{1} and R are in parallel. The equivalent resistance R_{2}=(2×1)/(2+1)=2/3 Ω

Similarly the resistance U and T are in series and equivalent resistance R_{3}=1+1=2 Ω.

The resistance R_{2} and s are in series and equivalent resistance R_{4}=2/3+1=5/3 Ω. Finally the resistance R_{3} and R_{4} are in parallel each other. Hence total resistance between terminal A and B is

R_{Tot}=(5/3×2)/(5/3+2)=10/11 Ω

Hence V_{AB}=1×10/11=10/11 Amp.

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