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JEE Mains · Physics · STD 12 - 3. 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 :

  1. A 16
  2. B 14
  3. C 10
  4. D 12
Verified Solution

Answer & Solution

Correct Answer

(D) 12

Step-by-step Solution

Detailed explanation

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