Three resistances of 1Ω, 2Ω and 3Ω are given. In order to obtain an equivalent resistance of $\frac{11}{3}Ω$ they are to be connected as |
3Ω in series with parallel combination of 1Ω and 2Ω 3Ω in parallel with series combination of 1Ω and 2Ω all in parallel 1Ω in series with parallel combination of 2Ω and 3Ω |
3Ω in series with parallel combination of 1Ω and 2Ω |
The correct answer is Option (1) → 3Ω in series with parallel combination of 1Ω and 2Ω Given resistances: $R_1 = 1\,\Omega$, $R_2 = 2\,\Omega$, $R_3 = 3\,\Omega$ Check option 1: 3Ω in series with parallel of 1Ω and 2Ω Parallel: $R_p = \frac{1 \cdot 2}{1+2} = \frac{2}{3}\,\Omega$ Series with 3Ω: $R_{\text{eq}} = 3 + \frac{2}{3} = \frac{11}{3}\,\Omega$ ✅ Answer: 3Ω in series with parallel combination of 1Ω and 2Ω |