Is it considered as a polynomial function? since f = 1/T, so f = t^-`1, thus df/dt = -1/t^2, and then do I just substitute t=0.001 into the equation to get the uncertainty?hutchphd said:Yes you do, but that is always true. So how do you approach this one?
Right.zzzriprip said:thus df/dt = -1/t^2
No.zzzriprip said:do I just substitute t=0.001 into the equation to get the uncertainty?
As @haruspex points out the 0.001s is Δt and you need to also put in t. If you do a little algebra on your result above you can show for this case the percent uncertainty in f will be the same as the percent uncertainty in t (i.e. Δt/t). That makes it easy to understand and use.zzzriprip said:Is it considered as a polynomial function? since f = 1/T, so f = t^-`1, thus df/dt = -1/t^2, and then do I just substitute t=0.001 into the equation to get the uncertainty?
The uncertainty of an oscilloscope frequency is a measure of the potential error in the frequency reading obtained from the oscilloscope. It takes into account factors such as the accuracy of the oscilloscope's internal components and the precision of the measurement technique used.
The uncertainty of an oscilloscope frequency is typically calculated using the formula: uncertainty = (accuracy/error limit) x 100%. This takes into account the accuracy of the oscilloscope and the maximum allowable error in the frequency reading.
Several factors can affect the uncertainty of an oscilloscope frequency, including the accuracy of the oscilloscope's internal components, the precision of the measurement technique used, and external factors such as environmental conditions and electrical interference.
The uncertainty of an oscilloscope frequency measurement can be reduced by using a more accurate oscilloscope, calibrating the oscilloscope before each measurement, and using a more precise measurement technique. It is also important to minimize external factors that can affect the measurement, such as electrical interference.
The acceptable level of uncertainty for an oscilloscope frequency measurement depends on the specific application and the required level of accuracy. In general, a lower uncertainty is desired, but it is important to consider the cost and feasibility of achieving a lower uncertainty level. It is also important to take into account the potential impact of the uncertainty on the overall accuracy of the measurement.