1.

In the circuit given below, the resistance between terminals A and B is 7Ω, between terminals B and C is 12Ω and between terminals C and A is 10Ω. The remaining one terminal in each case is assumed to be open. Then the value of RA and RB are _________(a) RA = 9 Ω and RB = 7 Ω(b) RA = 2.5 Ω and RB = 4.5 Ω(c) RA = 3 Ω and RB = 3 Ω(d) RA = 5 Ω and RB = 1 ΩThis question was posed to me by my college director while I was bunking the class.I would like to ask this question from Advanced Problems on Network Theory topic in chapter Network Theory and Complex Circuit Diagram of Network Theory

Answer»

The CORRECT option is (b) RA = 2.5 Ω and RB = 4.5 Ω

To explain I WOULD SAY: GIVEN RA + RB = 7 with C open

RB + RC = 12 with A as open

RA + RC = 10 with B open

Then, RA + RB + RC = \(\frac{29}{2}\) = 14.5

Hence, RA = 2.5 Ω, RB = 4.5 Ω and RC = 7.5 Ω.



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