If the potential difference between B and D is zero, the value of x is 1 n Ω . The value of n is ______.

Question

TestHub · Accepted Answer

As potential difference between B & D is zero therefore it is a balanced wheatstone bridge. So, we can write

$\Rightarrow \frac{R_{1}}{R_{2}} = \frac{R_{3}}{R_{4}} \Rightarrow \frac{(\frac{6 \times 3}{6 + 3})}{1 + 2} = \frac{(\frac{x \times 1}{x + 1})}{x}$

$\Rightarrow \frac{2}{3} = \frac{1}{x + 1}$

$\Rightarrow x = 0.5 = \frac{1}{2}$

Hence, required $n = 2$ .

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