Determine I1 in the given circuit.

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This question was previously asked in
MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. I1 = 5 mA
  2. I1 = 39 mA
  3. I1 = -5 mA
  4. I1 = -17 mA

Answer (Detailed Solution Below)

Option 3 : I1 = -5 mA
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Detailed Solution

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Kirchhoff's Current Law

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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.

KCL is based on the conservation of charge.

Calculation

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Assuming incoming current as negative and outgoing current as positive.

Σ Incoming current + Σ Outgoing current = 0

(-10 - 4 - 8 - I1 ) + (4 + 2 + 6 + 5) = 0 

I1 = -5 mA

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