How to Solve Parallel Circuit Problems in Electronics

Click For Summary

Homework Help Overview

The discussion revolves around a circuit problem involving three resistors connected in parallel to a 24.0 V battery. Participants are tasked with finding the total current supplied by the battery as well as the current through each individual resistor.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the method for calculating total resistance in parallel circuits and the subsequent current through the equivalent resistance. Questions arise regarding the voltage across individual resistors and how to find the current through each one.

Discussion Status

Some participants have provided insights into the calculation of total current and the use of conductance as a shortcut for solving parallel resistance problems. There is acknowledgment of the need to clarify how to determine the current through each individual resistor, with no explicit consensus reached on the best approach.

Contextual Notes

Participants note that the problem assumes an ideal battery without internal resistance, which may influence the calculations. There is also mention of the confusion surrounding the teaching of these concepts in electronics classes.

camel-man
Messages
76
Reaction score
0
1. Consider a circuit with 3 resistors (250.0 , 150.0 , 350.0  ) connected in parallel with a 24.0 V battery.

Find the total current supplied by the battery.

Find the current through each resistor.




2. I=V/R



3. I know that resistors in parallel must be added up and then inveted like so
1/150 + 1/ 350 + 1/250 then invert the answer. When I do that I get 74. I then add that into I=V/R where V=24 and R=74
My answer I=.324
 
Physics news on Phys.org
camel-man said:
1. Consider a circuit with 3 resistors (250.0 , 150.0 , 350.0  ) connected in parallel with a 24.0 V battery.

Find the total current supplied by the battery.

Find the current through each resistor.




2. I=V/R



3. I know that resistors in parallel must be added up and then inveted like so
1/150 + 1/ 350 + 1/250 then invert the answer. When I do that I get 74. I then add that into I=V/R where V=24 and R=74
My answer I=.324

What you found is the current through the equivalent resistance. What they want is the current through each individual resistor. Do you know the voltage across each individual resistor? (hint: they are in parallel, so ...)
 
camel-man said:
1. Consider a circuit with 3 resistors (250.0 , 150.0 , 350.0  ) connected in parallel with a 24.0 V battery.

Find the total current supplied by the battery.

Find the current through each resistor.




2. I=V/R



3. I know that resistors in parallel must be added up and then inveted like so
1/150 + 1/ 350 + 1/250 then invert the answer. When I do that I get 74. I then add that into I=V/R where V=24 and R=74
My answer I=.324

Well, that's the total current through the battery, assuming the battery is ideal and does not have any internal resistance. :approve:

The next part of the problem is to find the current through each resistor. (See nrqed's post)
 
A shortcut to doing parallel resistance problems is to use the CONDUCTANCES of each component: (G=1/R). Then you can simply add the Gs of each component. This is what you're actually doing when you use the formula Rt=1/(1/r1+1/r2+1/r3...). But they never tell you how they get that in most electronics classes!

Eric
 
KL7AJ said:
A shortcut to doing parallel resistance problems is to use the CONDUCTANCES of each component: (G=1/R). Then you can simply add the Gs ...

But they never tell you how they get that in most electronics classes!
With good reason, IMHO. It's too confusing! http://www.clicksmilies.com/s1106/waffen/violent-smiley-049.gif
 
Last edited by a moderator:

Similar threads

Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
4
Views
2K
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 42 ·
2
Replies
42
Views
6K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
1K
  • · Replies 21 ·
Replies
21
Views
2K