Suppose you possess three resistors of 20 , 50 and 100 . What minimum and maximum resistances can be obtained from these resistors?

Step-by-step solution

To obtain the maximum resistance, all the resistors must be connected in series. R_ max = R₁ + R₂ + R₃ R_ max = 20 + 50 + 100 = 170 To obtain the minimum resistance, all the resistors must be connected in parallel. 1 R_ min = 1 R₁ + 1 R₂ + 1 R₃ 1 R_ min = 1 20 + 1 50 + 1 100 1 R_ min = 5 + 2 + 1 100 = 8 100 R_ min = 100 8 = 12.5 The minimum and maximum resistances are 12.5 and 170 respectively.