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Question

A man has five resistors, each of value \(\left( {\frac{1}{5}} \right){\rm{\Omega }}\). The value of the maximum resistance obtained by connecting them in series will be

The correct answer is

1 Ω

  • The total number of resistors is 5.
  • The resistance of each individual resistor is \(\left( {\frac{1}{5}} \right){\rm{\Omega }}\) .
  • The maximum resistance is observed when the resistors are connected in series.
  • We know that in series R(total) = R1 + R2 +R3………Rn.
  • R (total =  \(\left( {\frac{1}{5}} \right){\rm{\Omega }} + {\rm{\;}}\left( {\frac{1}{5}} \right){\rm{\Omega }} + {\rm{\;}}\left( {\frac{1}{5}} \right){\rm{\Omega }} + \left( {\frac{1}{5}} \right){\rm{\Omega }} + \left( {\frac{1}{5}} \right){\rm{\Omega }}.{\rm{\;\;}}\)
  • = 1 Ω.
  • The maximum value of resistance is obtained when connected in series at 1  Ω (Ohms).
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