Is Tolerance the Same for Resistors in Series and Parallel?

Click For Summary

Discussion Overview

The discussion revolves around the concept of resistor tolerance, particularly in the context of resistors connected in series and parallel. Participants explore what a 5% tolerance means for a 20 ohm resistor and how this tolerance behaves when resistors are combined in different configurations.

Discussion Character

  • Conceptual clarification
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants explain that a 5% tolerance on a 20 ohm resistor means its value is guaranteed to be between 19 ohms and 21 ohms.
  • There is a question about how the tolerance changes when two 20 ohm resistors are placed in series, with some suggesting that the total resistance would be 40 ohms.
  • Participants propose that the tolerance might either double or remain the same when resistors are in series.
  • One participant suggests calculating the tolerance for resistors in parallel, indicating that the same 5% tolerance might apply.
  • Another participant confirms that the calculations for resistors in parallel yield a similar tolerance, suggesting that the tolerance does not change regardless of the configuration.

Areas of Agreement / Disagreement

Participants generally agree on the definition of tolerance for a single resistor but express uncertainty regarding how tolerance behaves when resistors are combined in series or parallel. The discussion remains unresolved regarding whether the tolerance changes in these configurations.

Contextual Notes

The discussion does not resolve the mathematical implications of combining resistors in series versus parallel, leaving assumptions about how tolerance is calculated in these cases open to interpretation.

hover
Messages
342
Reaction score
0
Say I have a 20 ohm resistor with a tolerance of 5%. What does it mean to have a tolerance of 5%??

Thanks
 
Engineering news on Phys.org
hover said:
Say I have a 20 ohm resistor with a tolerance of 5%. What does it mean to have a tolerance of 5%??

Thanks

The value is guaranteed to be between 0.95 * R and 1.05 * R.
 
berkeman said:
The value is guaranteed to be between 0.95 * R and 1.05 * R.

Another way to say it is +/- 5%
 
berkeman said:
The value is guaranteed to be between 0.95 * R and 1.05 * R.

So would it make perfect sense to say that for this example that the value of this resistor is guaranteed to be between (.95)(20) and (1.05)(20) which is 19 ohms and 21 ohms? Is that the correct idea?

thanks
 
hover said:
So would it make perfect sense to say that for this example that the value of this resistor is guaranteed to be between (.95)(20) and (1.05)(20) which is 19 ohms and 21 ohms? Is that the correct idea?

thanks

Exactly. 5% of 20 Ohms is 1 Ohm.
 
Just one more question :biggrin:
Say you put 2 of these resistors in series. The resistance will jump to 40 ohms but what happens to the tolerance? Will it double or stay the same?
 
hover said:
Just one more question :biggrin:
Say you put 2 of these resistors in series. The resistance will jump to 40 ohms but what happens to the tolerance? Will it double or stay the same?

You can figure that one out for yourself, using the equation for the total resistance.

You know that the smallest you can get is 19+19 Ohms, and the largest is 21+21 Ohms. What tolerance does that indicate.

Now do it for the parallel resistor case... Do you get a similar or different answer...?
 
berkeman said:
You can figure that one out for yourself, using the equation for the total resistance.

You know that the smallest you can get is 19+19 Ohms, and the largest is 21+21 Ohms. What tolerance does that indicate.

Now do it for the parallel resistor case... Do you get a similar or different answer...?

Oh ok I see. Just do 2(19)/40 and 2(21)/40 and you get the same tolerance of 5% I believe. In other words, whether in series or parallel, the tolerance doesn't change.

Thanks! :biggrin:
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
3
Views
1K
  • · Replies 18 ·
Replies
18
Views
5K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K