10 resistors each of resistance 10 Ω can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be________.

Step-by-step solution

When all the resistors are connected in series, the total resistance is R m a x = 10 R ⇒ R max = 10 × 10 = 100   Ω When all the resistors are connected in parallel, the total resistance is R m i n = R 10 ⇒ R min = 10 10 = 1   Ω Hence, the ratio, R m a x R m i n = 100   Ω 1   Ω = 100 .