What is the current relationship between resistors in parallel?

Click For Summary
SUMMARY

The discussion centers on a circuit with two 5Ω resistors in series, which are in parallel with another 5Ω resistor. The total current through the series resistors is 4 amps. To find the current through the parallel resistor, one must first calculate the voltage drop across the series resistors using Ohm's Law, then apply that voltage to determine the current through the parallel resistor. The equivalent resistance of the circuit can also be calculated to simplify the analysis.

PREREQUISITES
  • Understanding of Ohm's Law
  • Knowledge of series and parallel resistor configurations
  • Ability to calculate equivalent resistance
  • Familiarity with voltage drop concepts in electrical circuits
NEXT STEPS
  • Calculate the voltage drop across two 5Ω resistors in series with a total current of 4 amps
  • Determine the current through a parallel resistor using the voltage calculated from the series resistors
  • Learn how to calculate equivalent resistance for resistors in series and parallel
  • Explore circuit analysis techniques using Kirchhoff's laws
USEFUL FOR

Electrical engineering students, hobbyists working on circuit design, and anyone studying resistor configurations and current distribution in electrical circuits.

3inst3in
Messages
2
Reaction score
0

Homework Statement



I have a circuit with two resistors in series that are in parallel to another resistor. Each resistor is 5Ω. The total current running through the series is 4amps. I need to find the current in the single resistor that is in parallel. What is the relationship among these three resistors in regard to current??

Homework Equations



for series Itotal=I1=I2=I3

The Attempt at a Solution



for parallel Itotal=I1+I2+I3
 
Physics news on Phys.org
What is the voltage drop through each branch of resistors in parallel?
 
I believe that something that could be useful here is the fact that voltage is the same across all elements that are parallel to one another in a circuit. I'm just not sure what you mean by the total current running through the series is 4 amps. Do you mean that the total current running through the resistor that is in series with the two resistors in parallel is 4 amps? It would be helpful to see a circuit diagram to answer this question.
 
3inst3in said:

Homework Statement



I have a circuit with two resistors in series that are in parallel to another resistor. Each resistor is 5Ω. The total current running through the series is 4amps. I need to find the current in the single resistor that is in parallel. What is the relationship among these three resistors in regard to current??

Homework Equations



for series Itotal=I1=I2=I3

The Attempt at a Solution



for parallel Itotal=I1+I2+I3
Apply Ohm's law to determine the voltage across the two series resistors.

How is that voltage related to the voltage across the other branch with the single resistor? Apply Ohm's law to determine the current through that branch.

AM
 
The total current running through the series is 4amps.

Thats ambiguous...

1) If you mean the current through the two resistors in series is 4 amps then... Work out the voltage drop across the two in series. The same voltage drop is across the one in parallel.

2) If you mean the total of the current in the whole circuit is 4 amps then.. Work out the equivalent resistance of (5+5)//5 and then use Ohms law to calculate the voltage drop.
 
CWatters said:
Thats ambiguous...

1) If you mean the current through the two resistors in series is 4 amps then... Work out the voltage drop across the two in series. The same voltage drop is across the one in parallel.

2) If you mean the total of the current in the whole circuit is 4 amps then.. Work out the equivalent resistance of (5+5)//5 and then use Ohms law to calculate the voltage drop.


oops, yes, I meant that the current in the whole circuit is 4amps.
ahh... and I completely forgot about voltage...
I am given that ε=20V which makes the question a lot simpler now
& thanks everyone for responding!
 

Similar threads

Replies
22
Views
4K
Replies
20
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
11
Views
2K