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  4. If each resistance r , is along the 12 edges of a cubical skeleton of uniform wires, then find the equivalent resistance between X and Y , where X and Y are the midpoints of two opposite edges of a face of the cube. <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-5e7tcci8jdzo.png />

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Q. If each resistance $r$ , is along the $12$ edges of a cubical skeleton of uniform wires, then find the equivalent resistance between $X$ and $Y$ , where $X$ and $Y$ are the midpoints of two opposite edges of a face of the cube.

Question

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

Potential of point $D$ and $E$ and $H$ and $C$ are same. Hence,

Solution

$R_{e q}=\frac{\frac{3 r}{4} + \frac{r}{2} + \frac{r}{2}}{2}=\frac{7 r}{8}$