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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