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19/07/2021 4:31 pm
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Show with the help of diagrams, how you would connect three resistors each of resistance 6 Ω, so that the combination has resistance of (i) 9 Ω (ii) 4 Ω.
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19/07/2021 4:35 pm
(i) figure.png
Resultant resistance for parallel circuit = R
\(\frac{1}{R}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\)
\(\frac{1}{R}\) = \(\frac{2}{6}\)
R = 3
Effective resistance = 6 + 3
= 9 ohms
(ii) figure.png
Resultant resistance for parallel circuit = R
\(\frac{1}{R}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\)
\(\frac{1}{R}\) = \(\frac{3}{6}\)
R = 2
Effective resistance = 2 + 2
= 4 ohms