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Electric circuits miscellaneous

  1. Consider star network shown in the given figure. The resistance between terminals A and B with C open is 6 Ω, between terminals B and C with A open is 11 Ω, and between terminals C and A with B open is 9 Ω. Then

    1. RA = 4 Ω , RB = 2 Ω, RC = 5 Ω
    2. RA = 2 Ω , RB = 4 Ω, RC = 7 Ω
    3. RA = 3 Ω , RB = 3 Ω , RC = 4 Ω
    4. RA = 5 Ω, RB = 1 Ω , RC = 10 Ω
Correct Option: B

Given : RA + RB = 6 with C open
RB + RC = 11 with A open
RC + RA = 9

∴ RA + RB + RC =
26
= 13
2

⇒ RA = 2 Ω



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