High School

What is the relative uncertainty in percentage of your measurement for the resistance of the 2-kiloOhm resistor?

\[
\begin{tabular}{|l|r|r|r|}
\hline
\text{Resistor} & \text{Manufacturer value in Ohm} & \text{Measured value in Ohm} & \% \text{difference} \\
\hline
3 & 10 & 10.1 & 1.00\% \\
\hline
4 & 100 & 99.3 & 0.70\% \\
\hline
5 & 220 & 219.8 & 0.09\% \\
\hline
6 & 330 & 326.6 & 1.03\% \\
\hline
7 & 1000 & 984 & 1.60\% \\
\hline
8 & 2000 & 1948 & 2.60\% \\
\hline
9 & 5100 & 5060 & 0.78\% \\
\hline
10 & 10,000 & 9890 & 1.10\% \\
\hline
11 & 100,000 & 99300 & 0.70\% \\
\hline
12 & 1,000,000 & 995000 & 0.50\% \\
\hline
\end{tabular}
\]

Answer :

The table given is an example of how to compare a resistor's manufacturer's value to the measured value and calculate the relative uncertainty.

To find out the relative uncertainty in % of your measurement for the resistance of the 2-kiloOhm resistor, we will have to refer to the table first.

As we can see, the table doesn't contain any value for the 2-kiloOhm resistor, but we can still calculate its relative uncertainty.

Let us calculate the relative uncertainty in % of a few resistors from the given table and then find the solution to the problem given:

For resistor 4, \% different = 0.70%,

Measured value = 99.3,

Manufacturer value = 100.

relative uncertainty = (0.70/100) * (100/99.3) * 100 = 0.706%.

Similarly, for resistor 5, \% different = 0.09%,

Measured value = 219.8,

Manufacturer value = 220.

relative uncertainty = (0.09/100) * (100/219.8) * 100 = 0.040%.

Now, to find out the relative uncertainty in % of the 2-kiloOhm resistor, we can use the above formula with the given values as follows:

Measured value = 2000,

Manufacturer value = 2000,

\% different = (0/2000) * 100 = 0

To know more about uncertainty visit:

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