Equivalent 1000Ω Resistor Uncertainty

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SUMMARY

The discussion focuses on determining the optimal combination of resistors to achieve an equivalent resistance of 1000 ohms with minimal uncertainty. Two 500 ohm resistors with a tolerance of ±50 ohms and two 2000 ohm resistors with a tolerance of ±5% are considered. The consensus is to calculate the equivalent resistance using both series and parallel configurations at the extremes of their tolerances to identify which setup yields the smallest uncertainty. This approach is essential for accurate resistor selection in practical applications.

PREREQUISITES
  • Understanding of resistor combinations in series and parallel circuits
  • Knowledge of resistor tolerance and its impact on equivalent resistance
  • Basic mathematical skills for calculating equivalent resistance
  • Familiarity with electrical engineering concepts related to resistance
NEXT STEPS
  • Calculate equivalent resistance using series and parallel formulas for given resistor values
  • Research the impact of tolerance on resistor performance in circuits
  • Explore methods for minimizing uncertainty in electrical components
  • Learn about resistor color codes and their significance in tolerance ratings
USEFUL FOR

Electrical engineering students, hobbyists working on circuit design, and professionals involved in precision electronics who need to understand resistor selection and uncertainty management.

the_d
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my question is that i have two resistors that are combined to form an equivalent resistance of 1000 ohms. Now there are two common resistors rated at 500 plus/minus 50 ohms and two others rated at 2000 ohms plus/minus 5%. I need to know what combo (series or parallel) would provide the smaller uincertainty in the equivalent 1000 ohm resistance?
 
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This is probably a homework question as manufacturers usually don't spec tolerance in this way. so...

what have you tried so far? do you have an opinion?
 
Thread moved to homework forum.

the_d, just do the math to figure it out. Do the combinations of resistors that are at the extreme +/- of their tolerances. What answer do you get?
 

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