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If the resistance of each edge of a cube shaped wire frame as shown in figure below is $R$, then the resistance between points 1 and 7 is
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Verified Answer
The correct answer is:
$\frac{5 R}{6}$
Now, we apply Kirchhoff 's loop rule in the darkened path,
$$
\begin{gathered}
\Sigma V=0=\frac{-I}{3} R-\frac{I}{6} R-\frac{I}{3} R+V \text { or } V=I R\left(\frac{5}{6}\right) \\
\text { But } \quad V=I R_{\mathrm{eq}} \\
\qquad I R_{\mathrm{eq}}=I R\left(\frac{5}{6}\right) \text { or } R_{\mathrm{eq}}=\frac{5}{6} R
\end{gathered}
$$
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