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Engineering and Comp Sci Homework Help
Simplifying a series / parallel circuit and calculating unknown values
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[QUOTE="jimmystevens123, post: 6393547, member: 681943"] [B]Homework Statement:[/B] I'm struggling with interpreting the circuit correctly, and checking my work afterwards yields confusing results. [B]Relevant Equations:[/B] Kirchhoff's Current Law Ohms Law [ATTACH type="full" alt="Circuit1.jpg"]269561[/ATTACH] Given the circuit above, I have to solve for the labelled currents, find V total and R total accordingly. 1A is flowing through the 5Ω resistor as shown. Assuming electron flow (negative terminal to positive) for circuit. The connector in the middle was somewhat confusing. Without it, this would be much simpler. At any rate, I redrew the circuit (perhaps incorrectly) as follows: [ATTACH type="full" alt="Circuit1_Redrawn.jpg"]269562[/ATTACH]If I have a 1A going through one identical parallel resistor, I must have 1A going through the other. Adding the equivalent parallel resistor values, I get 4.5 + 2.5 = 7Ω. 2A across 2.5Ω = 5V dropped. 2A across 4.5Ω = 9V dropped. R total = 7Ω I total= 2A V total = 14V Using Kirchoffs Current Law - (i2 = It * R1 / R1+R2) 2A * 6/6+18 = 0.5A? i1 = 2A * 18/6+18 = 1.5A? I feel like the redraw was a mistake, because without that junction, the values don't make any sense in the original circuit. [ATTACH type="full" alt="Circuit1_redrawn2.jpg"]269564[/ATTACH]My question is, how do I interpret this circuit correctly? How do I know if any current is going to flow through the middle connector, and if so, how much? It's not intuitive to me at all. Apologies for the length. [/QUOTE]
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Simplifying a series / parallel circuit and calculating unknown values
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