Question 199: Current Electricity

Question

A wire of resistance $R$ is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points $A$ and $B$ is $R / n$. The value of $n$ is :

Accepted Answer

As $r=\frac{R}{6}$
(As balanced wheat stone bridge is formed) Now, Equivalent resistance between A and B can be written as
$$\begin{aligned}
& \frac{1}{\mathrm{R}_{\mathrm{AB}}}=\frac{1}{2 \mathrm{r}}+\frac{1}{2 \mathrm{r}}+\frac{1}{\mathrm{r}}=\frac{2}{\mathrm{r}} \
& \mathrm{R}_{\mathrm{AB}}=\frac{\mathrm{R}}{12}
\end{aligned}$$

Answer

16

Answer

10

Answer

12

Answer

14

Current Electricity

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R / n. The value of n is :

Choose the correct answer: