Question

Find the equivalent resistance of the following circuit between A and B.

Answer 1

R1 = 2Ω, R2 = 10 Ω, R3 = 4 Ω, R4 = 2.5 Ω, R5 = 3.5 Ω

R1 and R2 are in series

=> equivalent resistance = R6 = R1 + R2 = 2 Ω + 10 Ω = 12 Ω

R4 and R5 are series

=> equivalent resistance = R7 = R4 + R5 = 2.5 Ω + 3.5 Ω = 6 Ω

R6, R7 and R3 are parallel    => (1/R) = (1/R6) + (1/R7) + (1/R3)

                                                            = (1/12) + (1/6) + (1/4)

                                                            = 1/2

Equivalent resistance R = 2 Ω