The current flowing through the resistor is A. The value of is

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Solution

Q.
The current flowing through the $1 Ω$ resistor is $\frac{n}{10}$ A. The value of $n$ is ______ . [2024]

Ans.
(25)

At junction $y$ ,

$\frac{y - 5}{2} + \frac{y - 0}{2} + \frac{y - (x - 10)}{1} = 0$

$y - 5 + x + 3 x - 40 - 4 y = 0$

$4 y - 2 x + 15 = 0$ ...(i)

At junction $x,$ $\frac{x - 5}{4} + \frac{x - 0}{4} + \frac{(x - 10) - y}{1} = 0$

$x - 5 + x + 4 x - 40 + 4 y = 0$

$6 x - 4 y - 45 = 0$ ...(ii)

$x = \frac{15}{2} V and y = 0$

$i_{1} = \frac{y - (x - 10)}{1} = \frac{0 - 7.5 + 10}{1}$

$\Rightarrow i_{1} = 2.5 A = \frac{n}{10} A \Rightarrow n = 25$

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