All the resistances shown in the network are equal to \(1~\Omega.\) Find the resistance of the network measured between \(A\) and \(D.\)
1. \(1~\Omega\)
2. \(2~\Omega\)
3. \(\dfrac{1}{2}~\Omega\)
4. \(\dfrac{1}{4}~\Omega\)
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Subtopic: Â Combination of Resistors |
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Nine similar resistors of resistance \(R\) are connected as shown in the figure. Equivalent resistance between points A and B is:
1. \(\frac{3}{5} R\)
2. \(\frac{4}{3} R\)
3. \(\frac{9}{5} R\)
4. \(R\)
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A thin circular conducting wire is connected at \(A,B\) where the smaller arc \(AB\) represents \(\dfrac14^{\text{th}}\) of the circumference. A current flows from \(A\) to \(B,\) dividing into two branches \(i_1\) and \(i_2\) at \(A.\) The ratio \(i_1:i_2\) equals:
1.
\(3\)
2.
\(4\)
3.
\(\dfrac13\)
4.
\(1\)
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