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AP EAMCET · PHYSICS · Current Electricity

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

  1. A \(1 \Omega\)
  2. B \(2 \Omega\)
  3. C \(3 \Omega\)
  4. D \(6 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3 \Omega\)

Step-by-step Solution

Detailed explanation

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