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What possible values of resultant resistance one can get by combining two resistances, one of value 2 ohm and the other 6 ohms?

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What possible values of resultant resistance one can get by combining two resistances, one of value 2 ohm and the other 6 ohms?

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R1 = 2 ohm, R2 = 6 ohm

Case I: Parallel combination

\(\frac{1}{R}\) = \(\frac{1}{R_1}\) + \(\frac{1}{R_2}\)

\(\frac{1}{R}\) = \(\frac{1}{2}\) + \(\frac{1}{6}\) = \(\frac{4}{6}\)

R = \(\frac{6}{4}\) = 1.5 ohm

Case II: Series combination

R = R1 + R2 

= 2 + 6

= 8 ohm

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