When 9 standard resistors of 0.2 grade and 1000Ω are connected in series, the error in the total resistance of the series connection is ( )Ω.
Thread Content
When 9 standard resistors of 0.2 grade and 1000Ω are connected in series, the error in the total resistance of the series connection is ( )Ω. A、 2 B、 3 C、 6 D、 18 How do you solve this question?
The error in the total resistance after series connection is 6Ω. If the error of one resistor is 2Ω, then the root mean square error for 9 resistors connected in series is: the sum of the squares of 9 times 2 equals 36, and the square root of 36 is 6.
According to the calculation method used by Haiyou on the 2nd floor, when 9 resistors of level 0.2 are connected in series, 6 ÷ (9 × 1000) = 0.00066666, which is approximately equivalent to level 0.1. Gagaga, just by connecting resistors in series, the precision improves, huh? That’s amazing! So if I connect 10,000 0.2-grade 1000Ω resistors in series, the total error according to this calculation is 200Ω. 200 ÷ (10,000 × 1000) = 0.00002, which corresponds to a 0.002-grade error! Dig a groove! Series connection can increase resistance accuracy by 100 times, huh. Hehehe.
If you don’t do well in math, you need to be more responsible and not act recklessly. Simplicity and plainness are what truly matter. 1. When resistors are connected in series, the accuracy remains unchanged. 2. In the case of instruments connected in cascade, the accuracy of the instrument with the greatest error among those involved in the cascade is the overall accuracy of the cascaded system.
If the positive and negative values cancel each other out, there might be no error at all. How is this calculated? I think this question isn’t rigorous
Statistically, big data can indeed improve accuracy
Statistics? Either there are too many fallacies and absurd ideas, or there are too many hypocrites. I don’t have a good opinion of statistics
It’s a single small gauge; as for cascading, it’s only 2 or 3 levels at most – there are probably none with more than 5 levels. . . Big data? Improving accuracy? . . Come on, 10,000 pressure transmitters with a precision of 0.5 grade – tell me how we can improve this so that the precision can reach 0.1 grade! If you can manage to achieve a level of 0.1, then I’ll go to the zoo, cut off one of the gorillas’ big hammers, and attach it to your navel as a reward – so that you can become super strong and awesome, okay?