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Question

Six equal resistance of 1 Ω each are connceted to form the sides of a hexagon ABCDEF. If the equivalent resistance between A and D is 0.5 N Ω, 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 =1 Ω

Resistance of the branch ABCD,
RABCD=(1+1+1) ΩRABCD=3 Ω
Similarly, resistance of the branch AFED,
RAFED=(1+1+1) ΩRAFED=3 Ω
Since RABCD and RAFED are in parallel, the required resistance is given by,
1R=1RABCD+1RAFED=13+13
=23
R=32Ω=1.5 Ω

Now,
0.5 N Ω=1.5 Ω
N = 3
Thus the value of N is 3.

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