In the given circuit, which is a part of closed circuit, find the currents

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In the given circuit, which is a part of closed circuit, find the currents
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1 A. 0.6 A

0.4 A, 0.6 A

0.6 A, 0.4 A

1 A, 0.4 A

answer is C.

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Detailed Solution

Let the potential at O be V
From Kirchoff’s junction law
${i = i}_{1} + i_{2}$
$\frac{30 - V}{10} = \frac{V - 12}{20} + \frac{V - 2}{30}$
180 – 6V = 5V – 40
11V = 220
V = 20 volt
$i_{1} = \frac{V - 12}{20} = \frac{8}{20} = 0.4 A$
$i_{2} = \frac{18}{30} = 0.6 A$