Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

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

Options:

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

Correct Answer:

3Ω in series with parallel combination of 1Ω and 2Ω

Explanation:

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