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QJEEM23Phb4eb: JEE Main 2023 Physics - Class 12 JEEM23Phb4eb Solution: If the potential difference between and is zero, the value of…

If the potential difference between B\mathrm{B} and D\mathrm{D} is zero, the value of xx is 1nΩ\frac{1}{n} \Omega . The value of nn is __________.

JEE Main 2023 (Online) 30th January Evening Shift Physics - Current Electricity Question 98 English

Step-by-Step Verified Solution

The circuit is a Wheatstone bridge, so

6×36+3x×1x+1=1+2x{{{{6 \times 3} \over {6 + 3}}} \over {{{x \times 1} \over {x + 1}}}} = {{1 + 2} \over x}

⇒2(x+1)x=3x\Rightarrow {{2(x + 1)} \over x} = {3 \over x}

⇒x=12\Rightarrow x = {1 \over 2}

So n=2n = 2

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