JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Current Electricity

10 resistors each of resistance

10Ω

can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be

____

Answer: 100

Solution

The greatest equivalent resistance comes from all ten resistors in series,

R_{m a x} = 10 \times 10 = 100 Ω

. The least comes from all ten in parallel,

R_{m i n} = \frac{10}{10} = 1 Ω

. The ratio is

\frac{R _{m a x}}{R _{m i n}} = \frac{100}{1} = 100

JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Integer answer