Solving a Circuit - Uncover the Concept Missing

  • Thread starter Thread starter patm95
  • Start date Start date
  • Tags Tags
    Circuit Concept
Click For Summary
SUMMARY

The discussion centers on solving a circuit problem involving resistors R1-R6 with specified values and a current of 1.4 Amps. The user initially calculates the voltage across R5 and R6 in series, arriving at 16.8V, and then incorrectly assumes the total voltage across the parallel resistors is 50.4V. The correct approach involves applying the branch current formula to account for the parallel connections, which leads to a total voltage of 48.3V, as stated in the textbook. The missing concept is the proper application of the branch current formula for parallel circuits.

PREREQUISITES
  • Understanding of Ohm's Law (V=i*R)
  • Knowledge of series and parallel resistor configurations
  • Familiarity with branch current analysis
  • Ability to apply Kirchhoff's laws in circuit analysis
NEXT STEPS
  • Study the application of the branch current formula in parallel circuits
  • Learn about Kirchhoff's Current Law (KCL) for analyzing complex circuits
  • Practice solving circuit problems involving both series and parallel resistors
  • Explore advanced circuit analysis techniques, such as mesh analysis
USEFUL FOR

Students studying electrical engineering, circuit designers, and anyone looking to enhance their understanding of circuit analysis and problem-solving techniques.

patm95
Messages
30
Reaction score
0

Homework Statement



This is the circuit in question. # 31. R1-R3 = 2 Ohms R4=16Ohms R5= 8 Ohms
R6=4Ohms i6=1.4Amps

Homework Equations



V=i*R

The Attempt at a Solution



I see R5 and R6 as being in series, therefore r5*i6=11.2V
r6*i6=5.6V

Then I add them together=16.8V

Since I see the rest of the circuit in Parralel the voltages should be equal to one another so I take 16.8*3=50.4V

The back of the book says 48.3V


Any idea on what concept I may be missing?

Thank You very much in advance.
 

Attachments

  • IMG_1564.jpg
    IMG_1564.jpg
    53.9 KB · Views: 473
Last edited:
Physics news on Phys.org
Use branch current formula. If R1 and R2 are in parallel connection with I1 and I2 current, total current = I1 + I2. Then I1 = IR2/(R1 + R2)
Use this formula for each loop and solve for E.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K