Six equal resistance of 1Ω each are connceted to form the sides of a hexagon ABCDEF. If the equivalent resistance between A and D is 0.5NΩ, calculate the value of N.
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is C 3 Given:
Six resistors each of value =1Ω
Resistance of the branch ABCD, RABCD=(1+1+1)ΩRABCD=3Ω
Similarly, resistance of the branch AFED, RAFED=(1+1+1)ΩRAFED=3Ω
Since RABCD and RAFED are in parallel, the required resistance is given by, 1R=1RABCD+1RAFED=13+13 =23 ⇒R=32Ω=1.5Ω