Question

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If the least resistance that can be obtained by combining resistance of 6 ohm, 3 ohm and x ohm is 1 ohm, then find the value of x.

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Answer 1

Least resistance is obtainable in parallel circuits.

Let R1 = 6 ohm, R2 = 3 ohm, R3 = x ohm,

Resultant resistance(R) = 1 ohm

R = 1/R1 + 1/R2 + 1/R3

On substitution -

=> 1 = 1/6 + 1/3 + 1/x

=> 1/x = 1/2

=> x = 2

Resultant resistance = 2 ohm

Answer 2

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Please refer to the attachment mate.

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