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Sol_Engineered
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The question is what it is. Its a general confusion which I am having.
Problem:
Q. Using kirchhoffs laws to calculate branch currents and total current.
Now I can use Kirchoffs voltage law to calculate branch currents through individual resistors. But when it comes finding total current I am dumbfounded.
Attempt:
1k ohms=I1
2.2k ohms=I2
3.3k ohms=I3
Kirchoffs voltage law:
1000I1+2200I2=12
3300I3+2200I2=12
Kirchoffs current law:
I1+I3=I2
Simplification using above equation:
1000I1+2200I2=12 (1)
1100I2-3300I1=12 (2)
I1= -13/1900A, I2=179/20900A, and I3= I2-(-I1)=161/10450A
Where to go from here?
(1) By total current does it mean what the current is produced by "each of the emfs "or "both emfs collectively"?
(2) If I were to find the total current for each emf in the circuit, then how would I be using my branch currents to do that? Which resistor would I be choosing? For starters I think I1 would give me total current for 12V but then there is I2 in series with it. How do I know if am choosing the correct resistor?
(3) Should I break this circuit into two individual circuits? Like making it into network A and B and then make 2200ohms and 1000ohms resistors in series, and similarly 2200ohms and 3300ohms in series, to find total current by each emf respectively?
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