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

Question

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

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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