| 1. | \(1000\) | 2. | \(10\) |
| 3. | \(100\) | 4. | \(1\) |
| 1. | \(2~\Omega\) | 2. | \((1+\sqrt2)~\Omega\) |
| 3. | \((1+\sqrt3)~\Omega\) | 4. | \((1+\sqrt5)~\Omega\) |

A ring is made of a wire having a resistance of \(R_0=12~\Omega.\). Find points \(\mathrm{A}\) and \(\mathrm{B}\), as shown in the figure, at which a current-carrying conductor should be connected so that the resistance \(R\) of the subcircuit between these points equals \(\frac{8}{3}~\Omega\)

| 1. | \(\dfrac{l_1}{l_2} = \dfrac{5}{8}\) | 2. | \(\dfrac{l_1}{l_2} = \dfrac{1}{3}\) |
| 3. | \(\dfrac{l_1}{l_2} = \dfrac{3}{8}\) | 4. | \(\dfrac{l_1}{l_2} = \dfrac{1}{2}\) |