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Question -

(a) Given nresistors each of resistance R, how will you combine them to get the

  • maximum
  • minimum effective resistance? What is the ratio of the maximum to minimum resistance?

(b) Given theresistances of 1 Ω, 2Ω, 3Ω, how will be combine them to get an equivalentresistance of

  • (11/3) Ω
  • (11/5) Ω,
  • 6 Ω,
  • (6/11) Ω?

(c) Determinethe equivalent resistance of network shown in figure.



Answer -

(a)
For maximum effective resistance, all the resistors should be joined in series. Rmmax = R + R + R+……..n or Rmax = nR
For minimum effective resistance, all the resistors should be joined in parallel.

(b) All possible combinations with resistances 1 Ω, 2 Ω and 3 Ω are



So, the combinations for the desired results can be selected.

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