Uncertainty: A displacement transducer has the calibration curve $y = \frac{K}{E}$. (3) Estimate the uncertainty in displacement $y$ for $E = 10V$ and $K = 10mmV$. with $\sigma_E = 0.02V$, and $\sigma_K = 0.01mmV$.
Added by Brooke F.
Close
Step 1
We are given: - The calibration curve of the displacement transducer: K = Ey^(3) - The value of E = 10V - The value of K = 10mmV - The uncertainty in E, OE = 0.02V - The uncertainty in K, O = 0.01mmV Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 50 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A measurement model follows R = Kx^3, where x is the measured variable and K is the coefficient. The calculated sensitivities and propagation of uncertainty in the result, given that K = 3.401 kg/mV, Uk = 0.0110 kg/mV, Ux = 0.0200 mV, and x = 2.284 mV, is ±1.07.
Sri K.
A displacement transducer has the following specifications: Linearity: +- 0.20% of reading Drift : +- 0.05% /°C of reading Sensitivity : +- 0.25% of reading Excitation : 10-25 V dc Output : 0- 5 V dc Range : 0- 5 cm The transducer output is to be indicated on a voltmeter having a stated accuracy of +- 0.1% of reading with resolution of 10microV. The measurement at a nominal displacement of 2 cm with temperature vary by 10 °C. i. Estimate the uncertainty at design stage for the transducer ii. Estimate the uncertainty at design stage for the voltmeter iii. Estimate the uncertainty at design stage for both of the system
Madhur L.
3. Derive the equation for the uncertainty for each of the following equations using the rules for propagating uncertainty. A) Find the uncertainty in V. V = QC B) Find the uncertainty in E. Note: Ignore any error in k (treat it as a constant). E = kq / r^2
Gregory D.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD