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ou are given three resistances of 1, 2 and 3 ohms. Show by diagrams, how with the help of these resistances you can get: (i) 6 Ω (ii) 6/11 Ω (iii) 1.5 Ω

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ou are given three resistances of 1, 2 and 3 ohms. Show by diagrams, how with the help of these resistances you can get:

(i) 6 Ω

(ii) 6/11 Ω

(iii) 1.5 Ω

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Equivalent resistance = 1Ω + 2Ω + 3Ω

= 6Ω

(ii)  figure.png

Equivalent resistance

\(\frac{1}{R}\) = \(\frac{1}{1}\) + \(\frac{1}{2}\) + \(\frac{1}{3}\)

= \(\frac{6+3+2}{6}\) = \(\frac{11}{6}\)

(iii)  figure.png

Equivalent resistance of first line

= 1Ω + 2Ω = 3Ω

Resistance of the second line = 3Ω

Equivalent resistance

\(\frac{1}{R}\) = \(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)

R = \(\frac{3}{2}\) = 1.5Ω 

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