Current flowing through the resistor

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SUMMARY

The discussion focuses on calculating current through a resistor network using mesh analysis and Ohm's Law. Participants detail the steps to derive mesh equations for a circuit with resistors of 2.2kΩ, 10kΩ, and a parallel combination of 1kΩ and 3.3kΩ. The final current through the circuit is calculated to be 3.3mA, with specific attention to the application of Kirchhoff's Voltage Law (KVL) and the proper combination of resistors in series and parallel. The importance of maintaining unit consistency throughout calculations is emphasized.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with Kirchhoff's Voltage Law (KVL)
  • Knowledge of mesh analysis for circuit analysis
  • Ability to combine resistors in series and parallel
NEXT STEPS
  • Study the application of Kirchhoff's Current Law (KCL) in circuit analysis
  • Learn advanced techniques for solving simultaneous equations in circuit analysis
  • Explore the Delta-Y transformation for resistor networks
  • Practice drawing and analyzing circuit diagrams for complex resistor networks
USEFUL FOR

Electronics students, electrical engineers, and hobbyists seeking to deepen their understanding of circuit analysis and current flow in resistor networks.

  • #31
joaofbi1 said:
So how do I Calculate how much mA I have lost through the resistor?

No current is lost through a resistor; only the voltage is used up.
 
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  • #32
But where exactly did you get 0.55mA from? That has completely stumped me.
 
  • #33
Current I2 from message #28.
 
  • #34
Could I not just simply do 6V/10kΩ to get 0.6 instead of doing
I2 = 6 V/10.8 k ohms = 0.55 mA
 
  • #35
So once we know that the current going through the 10k Ohms resistor is 0.55mA how do we then do it?

Shall I convert the 0.55mA into volts then do the same operation as above?
 
  • #36
No ... you need to use the equivalent resistance for this branch, which is 10.8 k.

Go back through and draw each of the reduced circuits, labeling them 0 for the original, 1 for the first reduction, etc until you get to the final reduced circuit which has one resistor, and which provides the total current.

Record the equivalent resistances that have been found for each reduced circuit as you move from 0 to N, and then record the voltage drops and currents as you work your way back from N to 0.

When you do this yourself you should get consistent, correct answers.

I'll be offline for a few days due to international travel; Gute Nacht from Germany!
 
  • #37
I still don't understand but thank you to everyone that helped me.
 
  • #38
Would you like to go through it again with a slightly different approach?
 
  • #39
No use now, I'll be going to bed and it's due in tomorrow. I'll just ask the teacher how to do it. But I think I may have got it on my own anyway by using Vr=(R1/(R1+R2)x6
 

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