In the given circuit, the current flowing through the resistance 20 is 0.3 A, while the ammeter reads 0.9 A. The value of is

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Solution

Q.
In the given circuit, the current flowing through the resistance 20 $Ω$ is 0.3 A, while the ammeter reads 0.9 A. The value of $R_{1}$ is ________ $Ω$ . [2024]

Ans.
(30)

Given, $i_{1} = 0.3 A,$ $i_{1} + i_{2} + i_{3} = 0.9 A$

So, $V_{A B} = i_{1} \times 20 Ω = 20 \times 0.3 V = 6 V$

$i_{2} = \frac{6 V}{15 Ω} = \frac{2}{5} A$

$i_{1} + i_{2} + i_{3} = \frac{9}{10} A$

$\frac{3}{10} + \frac{2}{5} + i_{3} = \frac{9}{10} \Rightarrow i_{3} = 0.2 A$

$\Rightarrow (0.2) R_{1} = 6$

$\Rightarrow R_{1} = \frac{6}{0.2} = 30 Ω$

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