Each branch in the following circuit has a resistance \(R\).

The equivalent resistance of the circuit between points \(A\) and \(B\) is:

1. \(R\) 2. \(2R\)
3. \(4R\) 4. \(8R\)
Subtopic:  Combination of Resistors |
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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. \(\dfrac{1}{4}~\Omega\)
Subtopic:  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. \(R\)
Subtopic:  Combination of Resistors |
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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. \(1\)
Subtopic:  Combination of Resistors |
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