In the figures given below, Value of RA, RB and RC are 20 Ω, 10 Ω and 10 Ω respectively. The resistances R1, R2 and R3 in Ω are ________(a) 2.5, 5 and 5(b) 5, 2.5 and 5(c) 5, 5 and 2.5(d) 2.5, 5 and 2.5The question was asked during a job interview.The origin of the question is Advanced Problems on Network Theory topic in portion Network Theory and Complex Circuit Diagram of Network Theory

In the figures given below, Value of RA, RB and RC are 20 Ω, 10 Ω

1.	In the figures given below, Value of RA, RB and RC are 20 Ω, 10 Ω and 10 Ω respectively. The resistances R1, R2 and R3 in Ω are ________(a) 2.5, 5 and 5(b) 5, 2.5 and 5(c) 5, 5 and 2.5(d) 2.5, 5 and 2.5The question was asked during a job interview.The origin of the question is Advanced Problems on Network Theory topic in portion Network Theory and Complex Circuit Diagram of Network Theory
Answer» The correct ANSWER is (a) 2.5, 5 and 5 Easiest explanation: R1 = \(\frac{R_B R_C}{R_A+R_B+R_C} = \frac{100}{40}\) = 2.5 Ω R2 = \(\frac{R_A R_C}{R_A+R_B+R_C} = \frac{200}{40}\) = 5 Ω R3 = \(\frac{R_B R_A}{R_A+R_B+R_C} = \frac{200}{40}\) = 5 Ω.

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