How Do You Calculate Resistance in a Circuit Diagram?

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SUMMARY

The discussion focuses on calculating resistance and voltage in a circuit diagram using Ohm's Law and Kirchhoff's Voltage Law. The user initially calculated V2 as 15V and total resistance RT as 4 ohms, but these values were later corrected. The correct approach involves recognizing that V2 and V3 do not add in series, and that additional information is needed to determine R2 and I2. The key takeaway is the importance of understanding circuit configurations when applying these laws.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with Kirchhoff's Voltage Law
  • Knowledge of series and parallel circuit configurations
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study Kirchhoff's Voltage Law in detail
  • Learn how to analyze series and parallel circuits
  • Practice calculating total resistance in complex circuits
  • Explore circuit simulation tools like LTspice or Multisim
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Students studying electrical engineering, hobbyists working on circuit design, and anyone looking to improve their understanding of circuit analysis and resistance calculations.

ggb123
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Hey, I would really appreciate any help with this question.

Homework Statement



Examine the following circuit diagram and state the value of a) V2 b) I2 c) R1 d) R2 e) RT

http://img136.imageshack.us/img136/3100/90933761.png

One solid circuit and no other information is given.

Homework Equations



V = IR

In series, RT = R1 + R2 + ... + Rn
In parallel, 1/RT = 1/R1 + 1/R2 + ... + 1/Rn

The Attempt at a Solution



I've solved for a) V2 = 15V and e) RT = 4 ohms
 
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You haven't provided enough info.
 
vela said:
You haven't provided enough info.

Thanks for the reply.

That was all the info provided in the question. That's what I thought myself, but this assignment's due tomorrow and I thought I'd get some feedback on what other people thought.

Again, thanks
 
Well, you can solve for some of those quantities, but not all. I can say that your answer for V2 and RT are wrong.

How did you calculate those?
 
vela said:
Well, you can solve for some of those quantities, but not all. I can say that your answer for V2 and RT are wrong.

How did you calculate those?

For V2: In a series circuit VT = V1 + V2 + ... + Vn
In a parallel circuit VT = V1= V2 = V3 = ... = Vn
I treat V2 and V3 as a single entity, since it is parallel within a series circuit.
Thus, VT = V1 + 2V2 = V1 + 2V3
40 = 10 + 2V2, 30 = 2V2, V2 = 15V
40 = 10 + 2V3, 30 = 2V3, V3 = 15V

RT = VT/IT = 40/10 = 4 ohms

can you see what i did wrong?
 
V2 and V3 don't add because they're not in series. When you use Kirchoff's voltage law, either V2 (if you use the inside loop) or V3 (if you use the outside loop) appears, but not both.

I'm not sure what I was thinking before, but I was wrong about RT. Your answer is correct.

You should be able to calculate R1, but to get R2 and I2 requires more information.
 
vela said:
V2 and V3 don't add because they're not in series. When you use Kirchoff's voltage law, either V2 (if you use the inside loop) or V3 (if you use the outside loop) appears, but not both.

I'm not sure what I was thinking before, but I was wrong about RT. Your answer is correct.

You should be able to calculate R1, but to get R2 and I2 requires more information.

Ah, thanks again
 

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