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A uniform wire of resistance `R` is slaped into a regular n-sided polygon (n is seven). The equivalent resistance between any two corners can have :A. the maximum value `R//4`B. the maximum value `R//n`C. the minimum value `R((n - 1)/(n^(2)))`D. the minimum value `R//n` |
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Answer» Correct Answer - a,c, The resistance of each side of polygon `= R//n`. For maximum resistance between opposite correct we have two resistance each of `R//2` in parallel The maximum resistance `= ((R//2)xx (R//2))/((R//2)+(R//2)) = (R )/(4)` For resistance between adjacent current, we have two resistance `R//n` and `(n- 1) R//n` in parallel Their effective resistance `= ((R//n) xx[(n - 1)R//n])/((R//n) + (n - 1)R//n) = (R(n- 1))/(n^(2))` |
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