According to Kirchhoff's first law, the CORRECT relationship between different currents passing in the given circuit diagram in terms of i2 is
Correct answer: D. i2 = i1 - i3 - i4 + i5
- A. i2 = i1 + i3 + i4 +i5
- B. i2 = i1 + i3 - i4 +i5
- C. i2 = i1 - i3 + i4 + i5
- D. i2 = i1 - i3 - i4 + i5
Explanation
In this circuit, according to Kirchhoff's first law, the sum of currents entering the junction should be equal to the sum of currents leaving the junction. Option D correctly shows this relationship where i2 is equal to i1 minus i3 minus i4 plus i5. This means that the current flowing into the junction (i1 and i3) is equal to the current flowing out of the junction (i2 and i4). The other options do not follow this law and do not correctly represent the relationship between currents in the circuit.
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