1.

Calculate the equivalent resistance of the network across the points A and B shown in figure.

Answer»

Here in this diagram, say: 

R1 = 4Ω 

R2 = 8Ω 

R3 = 4Ω 

R4 = 8Ω 

When we want to find the resistance across points A and B then resistance R1 and R2 are connected in series and resistances R3 and R4 are also connected in series.

Thus, 

R5 = R1 + R2 = 4Ω + 8Ω = 12Ω 

And, R6 = R3 + R4 = 4Ω + 8Ω = 12Ω 

Now, this R5 and R6 are connected to each other in parallel. Thus the equivalent resistance RAB across points A and B is:

\(\frac{1}{R_{AB}}=\frac{1}{R_5}+\frac{1}{R_6}\)

\(\frac{1}{R_{AB}}=\frac{1}{12}+\frac{1}{12}\)

\(\frac{1}{R_{AB}}=\frac{2}{12}+\frac{1}{6}\)

∴ RAB = 6Ω



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