Question
State Kirchhoff’s rules. Use these rules to write the expressions for the currents $I_1, I_2$ and $I_3$ in the circuit diagram shown.

Answer

  1. Junction rule: At any junction, the sum of the currents entering the junction is equal to the sum of currents leaving the junction.
  2. Loop rule: The algebraic sum of changes in potential, around any closed loop, involving resistors and cells in the loop, is zero.
Expressions for the currents $I_1, I_2$ and $I_3$ using given loop.
  1. $I_3 = I_2 + I_1$
  2. $4I_1 – 3I_2 + 1 = 0$
  3. $3I_2 + 2I_3 – 3 = 0.$

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