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Question

The smallest resistance which can be obtained with ten 0.1 ohm resistors is

A
1 ohm
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B
0.1 ohm
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C
0.01 ohm
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D
0.001 ohm
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Solution

The correct option is B 0.01 ohm
When the resistances are connected in parallel, the effective resistance becomes less than the smallest individual resistance. Thus smallest resistance is obtained when ten 0.1Ω resistors are connected in parallel.
Effective resistance Rp=r10=0.110=0.01Ω

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