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  • The resistance of a wire frame shaped as a cube when measured between points 1 and 7.The resistance of each edge is r.Option: 1 r 

The resistance of a wire frame shaped as a cube when measured between points 1 and 7.The resistance of each edge is r.

Option: 1

r 


Option: 2

3r/5 


Option: 3

5r/7 


Option: 4

5r/6


Answers (1)

best_answer

Method 1 : Symmetry about entrance point 1 and exit point 7 shows that points (2,4,5) and (5,6,8) are equipotential points. The circuit can be redrawn as shown in figures.

\text { Req }=r / 3+r / 6+r / 3=\frac{5}{6} r

Method II :

\begin{aligned} & \text { Req }=\left(V_1-V_7\right) / 3 i \\ & =\frac{\left(V_1-V_2+V_2-V_3+V_3-V_7\right)}{3 i} \\ & =\frac{r i+r / 2+r i}{3 i} \\ & \text { Req } \quad=\frac{5}{6} r \end{aligned}

 

 

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Riya

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