Find the current is in the following diagram, if i1 = i2 = i3 = i4 = 3 A.

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. 6 A
  2. 9 A
  3. 3 A
  4. 12 A

Answer (Detailed Solution Below)

Option 1 : 6 A
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Detailed Solution

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Kirchhoff's Current Law

According to Kirchhoff's Current Law, the total current entering a junction or a node is equal to the charge leaving the node. The algebraic sum of every current entering and leaving the node has to be zero.

Calculation

Given, i1 = i2 = i3 = i4 = 3 A.

Assuming incoming current as negative and outgoing current as positive.

\(-i_1+i_2-i_3-i_4+i_5=0\)

\(-3+3-3-3+i_5=0\)

\(i_5=6A\)

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