Is Tolerance the Same for Resistors in Series and Parallel?

AI Thread Summary
A 20-ohm resistor with a 5% tolerance means its actual resistance can range from 19 ohms to 21 ohms. When combining two of these resistors in series, the total resistance becomes 40 ohms, with the same 5% tolerance applied to the new value. The minimum and maximum resistances in series would be 38 ohms and 42 ohms, respectively, indicating the tolerance remains consistent. Similarly, when resistors are arranged in parallel, the tolerance also remains at 5%. Overall, the tolerance does not change regardless of whether the resistors are in series or parallel.
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Say I have a 20 ohm resistor with a tolerance of 5%. What does it mean to have a tolerance of 5%??

Thanks
 
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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:
 
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