A digital meter is used to measure the current in an electric circuit.The reading on the meter fluctuates (varies) between 3.04 A and 3.08 A. The readings on themeter have an accuracy of 1%.What is the true value of the current, with its uncertainty?A (3.06 0.02) AB (3.06 0.04) AC (3.06 0.05) AD (3.06 0.07) A
Question
A digital meter is used to measure the current in an electric circuit.The reading on the meter fluctuates (varies) between 3.04 A and 3.08 A. The readings on themeter have an accuracy of 1%.What is the true value of the current, with its uncertainty?A (3.06 0.02) AB (3.06 0.04) AC (3.06 0.05) AD (3.06 0.07) A
Solution
The true value of the current is the average of the lower and upper limits of the fluctuation, which is (3.04 A + 3.08 A) / 2 = 3.06 A.
The uncertainty is calculated as the accuracy percentage of the true value. In this case, it is 1% of 3.06 A, which equals 0.0306 A. However, since the meter can only display two decimal places, we round this to 0.03 A.
Therefore, the true value of the current, with its uncertainty, is (3.06 ± 0.03) A. This option is not listed in the given choices.
However, if we consider the fluctuation range as the uncertainty, then the uncertainty is (3.08 A - 3.04 A) / 2 = 0.02 A. In this case, the answer would be (3.06 ± 0.02) A, which corresponds to option A.
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