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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,
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 is the resistance of the wire;






.
We can define, that the resistance of each side is equally, because this is a regular hexagon. By
definition the resistance is:

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Answer on Question #43236 Physics Electric CircuitsQuestion.A wire of resistance 15.0 ohm is bent to form a regular hexagon ABCDEFA. Find the equivalentresistance 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 ofresistors 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 inseries.So, = 15 is the resistance of the wire;1 = = = = = = .We can define, that the resistance of each side is equally, because this is a regular hexagon. Bydefinition the resistance is:= is the electrical resistiv ...
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