The nominal resistance R of the resistor used in this experiment was printed on the resistor by the manufacturer. According to the manufacturer, the actual resistance of the resistor should not differ from its nominal value by more than 1%. Does your most accurate measured resistance agree with the nominal resistance value of the resistor to within the limits of uncertainty? Explain
My crystal ball is not working in this snowstorm today. Is there more information?
No, this is all of the information that is provided.
Then you cannot solve it. You have to have a measured resistance, and a nominal resistance to compare it to.
To determine if your most accurate measured resistance agrees with the nominal resistance value within the limits of uncertainty, you need to compare the two values and consider the given tolerance.
1. Retrieve the nominal resistance value: Check the print on the resistor to find the nominal resistance value provided by the manufacturer. Let's assume it is given as R_nominal.
2. Calculate the maximum allowable difference: To determine the maximum allowable difference between the nominal resistance and the actual resistance of the resistor, we need to consider the tolerance of 1%. This can be calculated as follows:
- Maximum allowable difference = (1/100) * R_nominal
3. Determine the uncertainty of your measured resistance: Analyze your experimental measurement to determine the uncertainty associated with your most accurate measured resistance value. The uncertainty value typically depends on the precision and accuracy of your measuring instrument, calibration, and other experimental factors.
4. Compare the values: Compare the nominal resistance value (R_nominal) with your measured resistance value, considering the uncertainty. If the measured resistance falls within the range defined by the maximum allowable difference, then it agrees within the limits of uncertainty.
- If |R_nominal - measured resistance| ≤ (1/100) * R_nominal, then your most accurate measured resistance agrees with the nominal resistance value within the limits of uncertainty.
- Otherwise, if |R_nominal - measured resistance| > (1/100) * R_nominal, your measured resistance does not agree with the nominal resistance value within the limits of uncertainty.
By following this procedure, you can determine whether your most accurate measured resistance agrees with the nominal resistance value within the given uncertainty limits.