Resistance between 2 Points at the Ends of any Diameter of the Circle

The resistance between two points at the ends of any diameter of the circle can be determined by analyzing the circuit formed by the bent wire. Let's break down the solution into several steps to understand it better.

Step 1: Identifying the Circuit
When the wire is bent to form a closed circle, it can be visualized as a resistor connected to itself. In this case, the wire forms a closed loop where the two points at the ends of any diameter of the circle can be considered as the terminals of the resistor.

Step 2: Analyzing the Circuit
To find the resistance between the two points, we need to analyze the circuit. Since the wire is bent in the form of a closed circle, it can be assumed that the resistance is distributed uniformly throughout the wire.

Step 3: Calculating the Resistance
To calculate the resistance, we can use the formula:
Resistance = Resistivity * (Length / Cross-Sectional Area)

In the case of a wire, the resistivity and cross-sectional area remain constant. However, the length of the wire varies depending on the diameter of the circle formed.

Step 4: Determining the Length of the Wire
To determine the length of the wire, we can consider the diameter of the circle as the length of the wire. Since the diameter of the circle is the distance between the two points, it can be used as the length parameter in the resistance formula.

Step 5: Calculating the Resistance between the Two Points
Using the resistance formula with the length parameter as the diameter of the circle, we can calculate the resistance between the two points at the ends of any diameter of the circle.

Resistance = Resistivity * (Diameter / Cross-Sectional Area)

Given that the resistance of the wire is 5 ohms, we can substitute this value into the resistance formula to find the diameter-dependent resistance.

Conclusion
The resistance between two points at the ends of any diameter of the circle formed by the wire can be calculated using the resistance formula. By considering the diameter as the length parameter, the cross-sectional area, and the resistivity of the wire, the resistance value can be determined.