(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the circuit diagram, see attachment. a. Caluclate the current through the 22 Ohm resistor. b. What is the voltage across ab?

2. Relevant equations

Kirchoff's rule, Ohm's Law

3. The attempt at a solution

I am not sure, but it seems to me that the two upper meshes are in parrallel, and the 3rd one is in series with the two upper. Please, tell me if I am wrong. I know how to solve the problem, I am just confused that the left side of the diagram is like in parrallel, and the right side seems like the lower mesh connects with another to in series. Is it correct?

a.

1st mesh:-

=>22Ωi2 -14Ωi1 = 8V-12V

=>14Ωi1 - 22Ωi2 = 4V -------------(i)

2nd mesh:-

14Ωi1 + 6Ω(i1+i2) + 6Ω(i1+i2) = 12V+18V

=>26i1 + 12i2 = 30 V-----------(ii)

By (i) x 12V + (ii) x 22Ω :- we have

=>i1 = 0.96 amp

Thus i2 = 0.43 amp

b. V = i x R

=>V = (i1+i2) x (R3 +R4)

=>V = (0.96 A+ 0.43A) x (6Ω+6Ω)

=>V = 16.68 Volt

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# Homework Help: Find the current and the voltage; the Circuit Problem

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