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You are given several identical resisters each of value $5 Ω$ and each capable of carrying a maximum current of 2A. It is required to make a suitable combination of these resistances to produce a resistance of $2.5 Ω$ which can carry current of 4A. The minimum number of resistances required for this job is

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Detailed Solution

Assume n resistances are in parallel.

Required to carry a 4 amp current and have a resistance of 2.5 ohms.

$\Rightarrow \frac{5}{n} \times 2 = 2.5 \times 4$

$\Rightarrow n = 2$

$∴$ It requires two resistors connected in parallel.

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