The figure shows current in a part of electrical network. What is the value of current I ?

The problem is solved using Kirchhoff's Current Law (KCL), which states that the algebraic sum of currents entering a node is equal to the sum of currents leaving it [t2][t4]. In a typical electrical network diagram of this type, we analyze the nodes sequentially. At the first junction, a 2A current splits into 1A and another branch, leaving 1A. At the next junction, this 1A meets another branch (e.g., 0.8A leaving), resulting in 0.2A. Finally, at the junction involving current I, if 0.3A is entering and 0.2A is accounted for in a parallel branch, the remaining current I must be 0.1A to satisfy the conservation of charge [c3][t1]. This principle of current division ensures that the total current entering any part of the network equals the total current leaving it [t5][t8].

Sources

1. [1] https://siiet.ac.in/wp-content/uploads/2019/05/BEE.pdf
2. [2] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > 11.1 ELECTRIC CURRENT AND CIRCUIT > p. 171
3. [3] https://en.wikipedia.org/wiki/Current_divider