Potential difference of each resistor

Click For Summary
SUMMARY

The discussion centers on calculating the potential difference across resistors in a circuit involving five resistors with values R1=4Ω, R2=8Ω, R3=5Ω, R4=6Ω, and R5=3Ω. The user initially attempted to apply the V=iR equation but struggled with the circuit configuration. It was clarified that R1 and R2 are in parallel, as are R4 and R5, leading to a series connection with R3. The correct approach involves calculating the equivalent resistances and using Ohm's Law to find the current through each resistor.

PREREQUISITES
  • Understanding of Ohm's Law (V=iR)
  • Knowledge of series and parallel resistor combinations
  • Ability to solve circuit equations
  • Familiarity with basic electrical concepts
NEXT STEPS
  • Study how to calculate equivalent resistance in parallel circuits
  • Learn to apply Kirchhoff's Voltage Law in circuit analysis
  • Explore methods for finding current in series and parallel resistor networks
  • Practice solving complex circuits with multiple resistors
USEFUL FOR

Students studying electrical engineering, physics students tackling circuit analysis, and anyone looking to improve their skills in solving resistor networks.

GBC
Messages
3
Reaction score
0

Homework Statement


Screen Shot 2015-10-18 at 1.24.16 AM.png

What is the potential difference across each resistor?

I know that I'll have to incorporate the V=iR equation
but I don't know where to start though...
My first attempt was with these:
R1=4 R2=8 R3=5 R4=6 R5=3
24-I1R1-I1R2-I3R3+I4R4+I5R5=0
but this lead me nowhere so I tried this
24-I1R1-I1R2-I2R3+I3R4+I4R5=0
and again, I was stuck so I tried making it into a simple series circuit by combining R1 with R2 and R4 with R5 and got this:
24-(8/3)I23-5I2+2I45=0
and again I was stuck...
How do I find the I-values for the respective resistor? Should I be finding each one or could I combine it, as I did in my last attempt? If I combine it, how would I be able to calculate the potential difference of each of the resistors in the combined pairs (R1/R2 and R4/R5)?
 
Physics news on Phys.org
GBC said:

Homework Statement


View attachment 90370
What is the potential difference across each resistor?

I know that I'll have to incorporate the V=iR equation
but I don't know where to start though...
My first attempt was with these:
R1=4 R2=8 R3=5 R4=6 R5=3
24-I1R1-I1R2-I3R3+I4R4+I5R5=0
but this lead me nowhere so I tried this
24-I1R1-I1R2-I2R3+I3R4+I4R5=0
and again, I was stuck so I tried making it into a simple series circuit by combining R1 with R2 and R4 with R5 and got this:
24-(8/3)I23-5I2+2I45=0
and again I was stuck...
How do I find the I-values for the respective resistor? Should I be finding each one or could I combine it, as I did in my last attempt? If I combine it, how would I be able to calculate the potential difference of each of the resistors in the combined pairs (R1/R2 and R4/R5)?
Your first two trials have no sense. At the end you found out that the 4 ohm and 8 ohm resistors are connected parallel, and so are the 6 ohm and the 3 ohm resistors, and then you get three series connected resistors. So your last equation would be correct, What do you know of the current flowing through the series resistors? Can different current flow through them?
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
17K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K