Finding various currents around the circuit

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SUMMARY

This discussion focuses on applying Kirchhoff's laws to analyze a circuit with a voltage source of 12V and resistors R1 (2kΩ), R2 (2.7kΩ), R3 (1kΩ), and R4 (5.1kΩ). The user successfully calculated I1 (0.006A), I2 (0.0044A), and I6 (0.0104A) using Ohm's Law (V=I/R) but seeks guidance on applying Kirchhoff's laws for further calculations. A suggestion was made to simplify the circuit by replacing two parallel resistors with a single equivalent resistor to facilitate easier analysis.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with Ohm's Law (V=IR)
  • Basic knowledge of series and parallel resistor combinations
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Learn how to apply Kirchhoff's Voltage Law (KVL) in circuit analysis
  • Study techniques for simplifying circuits with series and parallel resistors
  • Explore the use of circuit simulation tools like LTspice or Multisim
  • Investigate advanced circuit analysis methods such as nodal and mesh analysis
USEFUL FOR

Electrical engineering students, hobbyists working on circuit design, and anyone seeking to improve their skills in circuit analysis and problem-solving using Kirchhoff's laws.

captjackAV
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Homework Statement


I have attached the circuit diagram to this thread.
V=12V, R1=2kΩ, R2=2.7kΩ, R3=1kΩ, R4=5.1kΩ.

Find I1, I2, I3, I4, I5, I6. Find VA, VB, VC, VD.
I just don't know how to apply kirchhoffs law to find the current and the voltage. I don't expect to have all answered. If someone can explain how to find at least 1 current and 1 voltage across a resistor, i can try to find the rest. Thank you in advance.

Homework Equations



I6=I1+I2
I1=I5+I3
I4=I2+I5
V=I/R

The Attempt at a Solution



I1= v/R1=12/2Ω=0.006A
I2= v/R2=12/2.7Ω=0.0044A
I6=I1+I2 = 0.0104A
VA=12V
 

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captjackAV said:
I just don't know how to apply kirchhoffs law to find the current and the voltage. I don't expect to have all answered. If someone can explain how to find at least 1 current and 1 voltage across a resistor, i can try to find the rest. Thank you in advance.
Hi captjackAV. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Can you replace 2 of the parallel resistors with a single resistor? Simplify the circuit this way so you end up with something to which you can readily apply Ohm's Law.
 
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