Resistors in a parallel circuit (Kirchhoff's Current Law or KCL) #7

Resistors in a parallel circuit have the same voltage across the ends. Circuits that have resistors in a parallel often make use of Kirchhoff's current law (KCL). This law is also termed as Kirchhoff's junction rule. Kirchhoff's law states that if you take sum of the currents entering a junction then it should equal the sum of current exiting the junction.

The law makes use of conservation of charge. This means in steady state no charge is added or lost at a junction.

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Summary of Kirchhoff's current law (KCL)

To understand Kirchhoff’s Current Law, consider this circuit with current values in the branches as i1, i2 and i3. Now at junction d, the charges are coming in due to current i1 and i3 and the outgoing current is i2.

Since the charge in the circuit remains the same, we have to assume that charge flowing in must be equal to charge flowing out.

So we can say that i1 + i3 = i2

Well this is nothing but Kirchhoff’s current law ..and it states that if you add up all currents entering a junction it should equal the sum of currents leaving the junction.

It is like water entering one pipe has to get distributed in the outgoing pipes. So if 3 liters per minute is entering, then the sum of water coming out also needs to be 3 liter per minute

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