Current Electricity and Electrical InstrumentHard

Question

What is the equivalent resistance across A and B in the figure shown, if R = 3Ω?
       

Options

A.9 Ω
B.12 Ω
C.15 Ω
D.8 Ω

Solution

       
R1 = R2 = R3 = R4 = R5 = R
R′ & R2 are in series
Their equivalent resistance,
R′ = R1 + R2 = 2R
Now R′ & R3 in are parallel
Their equivalent resistance, R′′ is given by



R″, R5 & R4 are in series
∴ Rf = R″ + R5 + R4 = R + R + 2R/3 = 8R/3,
Since R = 3Ω
∴ Rf = 8 × = 8

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