A wire of resistance 5 ohm is bent
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a wire of resistance 5 ohm is bent in the the form of a circle . what is the effective resistance between the two ends of any diameter of the circle?
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Answer:
Explanation:
Solution :-
The length of the wire between two points at the ends of a diameter of a circle is half of the whole wire The resistance of a conductor is directly proportional to its length.
Then,
Resistance of a wire between two points at the ends of any diameter
= 5 Ω/2 = 2.5 Ω
These two sections of the wire from a parallel combination of two resistances.
If R is the effective resistance between the two points,
Then
1/R = 1/2.5 Ω + 1/2.5 Ω = 2/2.5 Ω
This gives , R = 2.5/2 Ω = 1.25 Ω
Hence, the effective resistance between the two ends of any diameter of the circle is 1.25 Ω.
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