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A wire of resistance 15.0 ohm is bent to form a regular hexagon ABCDEFA. Find the equivalent resista

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Answer on Question #43236 – Physics – Electric Circuits Question. A wire of resistance 15.0 ohm is bent to form a regular hexagon ABCDEFA. Find the equivalent resistance of the loop between the points (a) A and B, (b) A and C, (c) A and D. Solution. In this problem we can imagine the resistance of the wire, as the sum of the resistances of resistors connected in series or in parallel, which are the sides of a regular hexagon. Fig.1. The representation of the sides of a regular hexagon in the form of identical resistors in series. So, 𝑅𝑡𝑜𝑡𝑎𝑙 = 15 𝑂ℎ𝑚 is the resistance of the wire; 𝑅1 = 𝑅𝐴𝐵 = 𝑅𝐵𝐶 = 𝑅𝐶𝐷 = 𝑅𝐷𝐸 = 𝑅𝐸𝐹 = 𝑅𝐹𝐴 . We can define, that the resistance of each side is equally, because this is a regular hexagon. By definition the resistance is: 𝑅=𝜌 𝑙 𝑆 𝜌 is the electrical resistiv ...
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