00:01
In this problem we have the following circuit.
00:10
We have a power supply here plus minus.
00:15
We have another power supply here plus minus.
00:19
And we have multiple registers.
00:27
And one also here.
00:30
Okay, the voltage value here is v unknown.
00:37
Here, 24 volts.
00:39
And the first register is 4 oms this is 8 this is 6 and this is 2 and we have this current across the 4 on register to the right as 3 ampers and we hear this unknown current across the 2 oom which is just i.
01:17
With that we are going to find this unknown power supply and this unknown current.
01:25
Okay, let us use the kirchofloff and let us obtain some loop and junction equations for this system.
01:34
Okay, we have this first loop here.
01:38
Let's call this loop one.
01:41
We have another loop here let's call this loop 2 and we have this junction here let's call this j1 now let us indicate some currents here okay we have i coming from this one because they are on the same wire we have three ampers here coming from here because they are on the same wire and this is also three ampers and let us indicate the current in this mid branch as i1 let us assume it is to the right now let us write down the equations for the loop one we have the power supply minus six i1 and then we have minus 24 volts it is minus because it is in the other way we have positive fear negative fear the loop direction is like this and we have minus 2i for the last restar so this must be equal to 0 let us write down the loop equation for the second loop we have the power supply 24 and then we have minus uh so plus 6 i 1 it would be minus in the usual sense but this is this current is in the opposite direction to the loop direction.
03:28
This is minus 6 i1...