The resultant resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given figure is

The resultant resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given figure is
  1. $1 \Omega$
  2. $2 \Omega$
  3. $3 \Omega$
  4. $6 \Omega$

Solution

Apply the Wheatstone bridge $ \begin{aligned} & \frac{\mathrm{R}_{\mathrm{AB}}}{\mathrm{R}_{\mathrm{BC}}}=\frac{\mathrm{R}_{\mathrm{AD}}}{\mathrm{R}_{\mathrm{DC}}}=\frac{3}{3}=\frac{3}{3} \\ & \mathrm{R}_{\mathrm{AB}}=\frac{6 \times 6}{6+6}=3 \Omega \end{aligned} $

Asked in: AP EAMCET 2023 (19 May Shift 1)

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