Resistorcalculation problem

161

01:53:45

I don't know how I could calculate the blue marked voltage by hand! Could anyone help me?

published 9 years ago

2ctiby

9 years ago

http://everycircuit.com/circuit/5480258765848576

GingerKing

9 years ago

5 - (1k)I1 = Vo; 3.5 - (1k)I2 = Vo; Vo - (1k)I3 = 0; I3 = I1 + I2; Solve for Vo. 4 equations, 4 unknowns. Now do some algebra involving a system of equations. I1 = (5 - Vo)/(1k); I2 = (3.5 - Vo)/(1k); I3 = Vo/(1k); ---> Vo/(1k) = (5 - Vo)/(1k) + (3.5 - Vo)/(1k); ---> Vo = 5 - Vo + 3.5 - Vo; ---> 3Vo = 5 - 3.5; ---> Vo = 1.5/3; --> Vo = 1/2. Hold up let me check the circuit again. Math on a phone is hard

GingerKing

9 years ago

Oops. 3Vo = 5 + 3.5: Vo = 8.5/3 =17/6 ~ 2.8333

Dheerendra4

9 years ago

Use superposition theorem, you will definitely get the results...

SvenCanEIT

9 years ago

yep superposition theorem is definitely the easiest way to calculate voltages and currents for such small circuits. just hit up google and you should be able to learn the answer

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