In the provided circuit, which of the following represents the correct Kirchhoff’s Current Law (KCL) equation for node D?

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SSC JE Electrical 4 Dec 2023 Official Paper II
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  1. i4 + i5 = i7
  2. i2 = i3 + i4
  3. i4 + i5 = -i7
  4. i3 = i5 + i6

Answer (Detailed Solution Below)

Option 1 : i4 + i5 = i7
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Detailed Solution

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The correct option is 1

Concept:

According to Kirchhoff’s current law (KCL), the algebraic sum of the electric currents meeting at a common point is zero. I.e. the sum of currents entering a node is equal to the sum of currents leaving the node. It is based on the conservation of charge.

Calculation:

By applying KCL at the node D:

i4 + i5 = i7

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