Two known resistance of R Omega and 2 R Omega and and o... | null (Physics) | DivineJEE

JEE Mains 2026 21st January Shift 2

Physics

Two known resistance of

\mathrm{R} \Omega

and

2 \mathrm{R} \Omega

and and one unknown resistance

\mathrm{X} \Omega

are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is

\mathrm{X} \Omega

, then the value of X is

\_\_\_\_

\Omega.\\

(\sqrt{3}-1) \mathrm{R}

2(\sqrt{3}-1) \mathrm{R}

(\sqrt{3}+1) \mathrm{R}

Correct Answer:

\frac{(2 \mathrm{R}+\mathrm{x}) \cdot(\mathrm{R})}{3 \mathrm{R}+\mathrm{x}}=\mathrm{x}\\

x^{2}+2 R x-2 R^{2}=0\\

\mathrm{x}=(\sqrt{3}-1) \mathrm{R}

Select an option to instantly check whether it is correct or wrong.

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