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PhysicsCurrent ElectricityCircuit AnalysisMedium2 minPYQ_2023

PhysicsMediumnumerical

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

Answer:

2.00

Solution:

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 $n = 2$ .

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Circuit Analysis

⏱ 2mℹ️ Source: PYQ_2023

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