QJEEM24Ph5913: JEE Main 2024 Physics - Class 12 JEEM24Ph5913 Solution: The current flowing through the 1 Ω resistor is n 10 A. The…

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The current flowing through the $1 Ω$ resistor is $\frac{n}{10}$ A. The value of $n$ is _______.

JEE Main 2024 (Online) 9th April Morning Shift Physics - Current Electricity Question 29 English

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JEE Main 2024 (Online) 9th April Morning Shift Physics - Current Electricity Question 29 English Explanation

At $C$

$\begin{aligned} \frac{v_{1}}{2} + \frac{v_{1} - 5}{2} + \frac{v_{1} + 10 - v_{2}}{1} = 0 \\ v_{2} = 2 v_{1} + \frac{15}{2} .... (i) \end{aligned}$

At $A$

$\begin{aligned} \frac{v_{2} - 5}{4} + \frac{v_{2}}{4} + \frac{v_{2} - 10 - v_{1}}{1} = 0 \\ 6 v_{2} = 4 v_{1} + 45 .... (ii) \end{aligned}$

$\begin{aligned} \Rightarrow v_{1} = 0 \\ and v_{2} = \frac{15}{2} \\ ∴ i = \frac{5}{2} A \\ \Rightarrow n = 25 \end{aligned}$

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