Complicated Combination Circuit problem. PLEASE HELP

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SUMMARY

The discussion focuses on solving a complicated combination circuit problem involving six resistors (R1 = 10 ohms, R2 = 14 ohms, R3 = 9 ohms, R4 = 11 ohms, R5 = 5 ohms, R6 = 9 ohms) and an 8V battery. The recommended approach is to simplify the circuit by combining resistors in parallel and series rather than using Kirchhoff's rules. Specifically, R4 and R6 can be combined into a single equivalent resistor (R7 = 4.95 ohms), which is then added in series with R5 to further reduce the circuit. This method allows for the application of Ohm's Law to determine the total current and individual voltages across the resistors.

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  • Understanding of Ohm's Law (V=IR)
  • Knowledge of resistor combinations in series and parallel
  • Familiarity with Kirchhoff's Circuit Laws
  • Ability to construct and interpret RIVP charts
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  • Learn how to simplify circuits using series and parallel resistor combinations
  • Study the application of Ohm's Law in complex circuits
  • Explore Kirchhoff's Voltage and Current Laws for circuit analysis
  • Practice constructing RIVP charts for various circuit configurations
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Electrical engineering students, circuit designers, and anyone involved in analyzing or solving complex circuit problems.

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Complicated Combination Circuit problem. PLEASE HELP!

Homework Statement



http://i45.tinypic.com/314te39.jpg

I am suppose to create a RIVP chart with that circuit shown above.

R1 = 10 ohms
R2 = 14 ohms
R3 = 9 ohms
R4 = 11 ohms
R5 = 5 ohms
R6 = 9 ohms
The voltage of the battery is 8V.

Homework Equations


The current is not given so I am assuming that I need to solve everything with Kirchhoff's rules but I'm not sure how to do that. I also noticed that the current can go in many directions.

The Attempt at a Solution



I know that the equations I have to use are P=IV and V=IR
I attempted to construct my RIVP chart and there were a lot of components that I need to solve for. I am not sure how to start the problem since the current is not given.
 
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You don't need to use Kirchhoff for this problem. It's possible, stepwise, to reduce all these resistors to one; and then find the main current in the cell.
Start by replacing R4 and R6 with, say R7.
R4 and R6 are in parallel.
Then this R7 is in series with R5. Replace R7 and R5 with, say, R8.
Work your way through the other resistors until there is just one left.
 


While you can use KCL and KVL here, it would be far easier to just simplify the circuit. Replace resistors in parallel and series by equivalent resistors. For example, the resistors R4 and R6 are in paralled and can be replaced by a single resistor of 4.95ohms. This way, just reduce the circuit. Finally, you will get a single resistor in series with the voltage source. Applying Ohm's Law in this case would give you the total current passing through the circuit. After that its just the matter of applying Ohm's Law to individual elements to get the voltage across them and the power dissipated by them.
Hope this helps.
 

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