Potential difference between points d and c in circuit

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SUMMARY

The potential difference Vd - Vc between points d and c in the circuit is influenced by two ideal batteries, E1 at 4.7 V and E2 at 1.4 V, along with resistors R1 and R2 both at 11 Ω and R3 at 6.7 Ω. The superposition method was employed to analyze the circuit, separating it into two distinct circuits for each battery. The final current flow through R2 is directed upwards, affecting the potential difference between nodes d and c. Accurate calculations without excessive rounding are crucial for determining the correct potential difference.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with circuit analysis techniques, specifically superposition
  • Knowledge of series circuits and their characteristics
  • Ability to perform calculations with significant figures
NEXT STEPS
  • Study the principles of superposition in electrical circuits
  • Learn about series and parallel circuit configurations
  • Explore the impact of rounding errors in electrical calculations
  • Investigate the behavior of ideal batteries in circuit analysis
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Students studying electrical engineering, circuit designers, and anyone involved in analyzing electrical circuits and potential differences.

Omar FTM
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Homework Statement


In the figure below, what is the potential difference Vd - Vc between points d and c if E1(of 1st battery) = 4.7 V, E2((of 2nd battery) = 1.4 V, R1 = R2 = 11 Ω, and R3 = 6.7 Ω, and the batteries are ideal?
http://farm6.static.flickr.com/5053/5469093809_53c7fe57f4.jpg

Homework Equations


V= IR

The Attempt at a Solution


I used superposition in order to find the current at R2 which leads to V2 = I2R2.
I separated the circuit into two circuits , each with one battery and its own calculations then I added them together , but the final answer seems wrong for an unknown reason...
https://scontent-sin6-1.xx.fbcdn.net/v/t35.0-12/15302523_1489883864359796_661161770_o.jpg?oh=7c4c036aa34ea2f78ce415299ea1557d&oe=58425946
 
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What is the direction of flow of the final current? Will it cause a potential drop or a potential rise between node d and node c?
 
There's 3 circuits...
 
gneill said:
What is the direction of flow of the final current? Will it cause a potential drop or a potential rise between node d and node c?
The current flow as mentioned is upward on R2.
I tried puting -0.3 v and 0.3v , both were wrong.

SSWheels said:
There's 3 circuits...
There are only two batteries and 3 resistors.
 
Omar FTM said:
The current flow as mentioned is upward on R2.
I tried puting -0.3 v and 0.3v , both were wrong.
Yeah, you'll probably want to conserve more digits through your intermediate calculations.
 
gneill said:
Yeah, you'll probably want to conserve more digits through your intermediate calculations.
But my steps are right , are not they ? I will do it using less rounding this time.
 
Omar FTM said:
But my steps are right , are not they ? I will do it using less rounding this time.
Your steps looked fine when I scanned through your work.
 
Omar FTM said:
The current flow as mentioned is upward on R2.
I tried puting -0.3 v and 0.3v , both were wrong.There are only two batteries and 3 resistors.
Yes, but the two batteries are in series with each other, forming a circuit with R1 & R2
 

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