6. Thirteen identical metal rods are connected as follows (see fig.). It is known that the resistance of one rod \( R_{0}=10 \) Ohms. Determine the resistance of the entire structure if it is connected to a current source at points \( A \) and \( B \). (10 points)

![](https://cdn.mathpix.com/cropped/2024_05_06_84fc2054d2075e5d2c9fg-05.jpg?height=537&width=945&top_left_y=154&top_left_x=584)
Answer: $4 O m$

Solution. The equivalent circuit looks as follows (5 points),

![](https://cdn.mathpix.com/cropped/2024_05_06_84fc2054d2075e5d2c9fg-05.jpg?height=445&width=876&top_left_y=977&top_left_x=607)

where each of the resistors has a resistance of $R_{0}=10$ Ohms. As a result, the total resistance is: $R=\frac{4}{10} R_{0}=4$ Ohms (5 points).