Find the current ‘i3’ in the following diagram. 

F1 Eng Arbaz 17-1-24 D5

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SSC JE Electrical 4 Dec 2023 Official Paper II
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  1. 7 A
  2. 5 A
  3. 11 A
  4. 3 A

Answer (Detailed Solution Below)

Option 1 : 7 A
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Detailed Solution

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Concept:

"At any node (junction) in an electrical circuit, the sum of currents entering the node is equal to the sum of currents leaving the node."

In mathematical terms, Kirchhoff's Current Law can be expressed as: \(ΣI_{in} = ΣI_{out}\)

Where: \(ΣI_{in}\) represents the algebraic sum (taking into account direction) of all currents entering the node. \(ΣI_{out}\) represents the algebraic sum of all currents leaving the node.

Calculation:

I1 + I2 = I3 + I4

⇒ 2 + 9 = I+ 4

⇒ I = 7 A

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