# Kirchhoff s current law

We can say this is general we can do the summation, that's the summation symbol, of the v-rise minus the sum of the v-fall equals zero. Re-write KCL at node A to reflect this change. And one of the things we know is that when we put current through this, let's say we put a current through here. And this is 10 volts. The sum of the voltage rises minus the sum of the voltage falls is always equal to zero. This is five volts.

The reverse of this can also be taken, i.

### Kirchhoffs 3rd law

And one of the things we know is that when we put current through this, let's say we put a current through here. So let's put a box around that too. And we know that current is flowing charge, so we know that the charge does not collect anywhere. We go up 10 volts, then we have a voltage drop of five, then we have another voltage drop of five, and then we get back to zero. All going in. I'm gonna draw this circuit again. Change the 5V voltage source for a -3V source. So that's the idea of Kirchhoff's Current Law. Rise plus Let's say this is one amp, and this is one amp, and this is one amp. This has practical application in situations involving " static electricity ". The voltages around the loop, where i takes us all the way around the loop, equals zero. We can say 10 volts minus five minus five equals zero. Make your measurements to be consistent with the given reference directions.

Check the Passive Sign Convention Verify that the passive sign convention is obeyed for the currents in part B. That has to equal zero as well. Plus five rise, plus five rise, and this is a 10 volt drop, so it works whichever way you go around the loop, and it works for whatever node you start at. The idea of Kirchhoff's Laws, these are basically common sense laws that we can derive from looking at simple circuits, and in this video we're gonna work out Kirchhoff's Current Law. Rise plus If I look at this voltage rise here, it's 10 volts, and if I look at that voltage drop, the drop is 10 volts.

### Kirchhoffs current law definition

The voltages around the loop, where i takes us all the way around the loop, equals zero. We're gonna go up 10 volts, down five volts, and down five volts. Another way we could do it, equally valid, this is just three ways to say exactly the same thing. So let's just do our visit again. These are equal resistors, so this is gonna be at five volts. And we know, we can just write right away, i1 equals i2. Now I can make an observation about this. The reverse of this can also be taken, i. So that's the idea of Kirchhoff's Current Law. So if we just plug our actual numbers in here what we get is 10 minus 10 equals zero. Like that. And that's Kirchhoff's Current Law. I can say the drop is 10 volts, or I could say the rise on this side is minus 10 volts.
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