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Kirchoff's first law

The sum of currents entering a junction is equal to the sum of currents leaving the junction.

This is due to the conservation of charge - charge cannot be created or destroyed.

We can write this as:

At a junction, three currents meet. Two of the currents are entering the junction with values of and . The third current is leaving the junction. What is the value of the third current?

  • Sum of currents entering the junction:
  • So the current leaving the junction must also be due to Kirchoff’s first law.

Kirchoff’s first law can also be expressed as: