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JEE Main 2023 (10 Apr, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2023 (10 Apr, Shift 1)

Q30JEE Main 2023 · 10 APR · SHIFT 1Easy

Combination of Resistors

10 resistors each of resistance 10 $\Omega$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ___________.

Numerical answer type. Work it out, then open the answer.

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Answer: 100

Maximum (all in series): $R_{max} = 10 \times 10 = 100\ \Omega$ .
Minimum (all in parallel): $R_{min} = \dfrac{10}{10} = 1\ \Omega$ .
Ratio $= \dfrac{100}{1} = 100$

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