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Find the uncertainty in a calculated electrical potential difference from the measurements of current and resistance. Electric potential dif
Question
Find the uncertainty in a calculated electrical potential difference from the measurements of current and resistance. Electric potential difference depends on current and resistance according to this function V(I,R) = IR. Your measured current and resistance have the following values and uncertainties I = 9.3 Amps, 0.3 Amps and R = 19.7 Ohms and 0.6 Ohms. What is the uncertainty in the , ? Units are not needed in your answer.
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Physics
3 years
2021-07-15T15:57:56+00:00
2021-07-15T15:57:56+00:00 1 Answers
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Answers ( )
Answer:
The value is
Explanation:
From the question we are told that
The formula for the Electric potential difference is
The current is
The uncertainty of the current is
The Resistance is
The uncertainty of the Resistance is
Taking the log of both sides of the formula
=>
differentiating both sides
Here V is mathematically evaluated as
So from
=>