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(a) Approximate µP . (b) Approximate σP . (c) Write the estimate

(a) Approximate µP . (b) Approximate σP . (c) Write the estimate

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An engineer needs to estimate the amount of power dissipated by a wire-wound resistor. Power (in watts) can be
found by P =V2R where V is the voltage (in volts) and R is the resistance (in Ohms). In this particular application, assume the voltage V ∼ ·(µV , σ2 V = 0.22) and assume the resistance R ∼ ·(µR, σ2 R = 0.12). Assume V and R are independent. The engineer measured the voltage and resistance and found v = 14.4 volts and r = 8.2 Ohms.
(a) Approximate µP .
(b) Approximate σP .
(c) Write the estimate

4. An engineer needs to estimate the amount of power dissipated by a wire-wound resistor. Power (in watts) can be found by V² R where V is the voltage (in volts) and R is the resistance (in Ohms). In this particular application, assume the voltage V~ (µv, o2 = 0.2²) and assume the resistance R ~ (μR, ok = 0.1²). Assume V and R are independent. The engineer measured the voltage and resistance and found v = 14.4 volts and r = 8.2 Ohms. P = (a) Approximate up. (b) Approximate op. (c) Write the estimate of the power, along with the estimated error, in engineering (i.e. ) notation. Be sure to state the units.
Transcribed Image Text:4. An engineer needs to estimate the amount of power dissipated by a wire-wound resistor. Power (in watts) can be found by V² R where V is the voltage (in volts) and R is the resistance (in Ohms). In this particular application, assume the voltage V~ (µv, o2 = 0.2²) and assume the resistance R ~ (μR, ok = 0.1²). Assume V and R are independent. The engineer measured the voltage and resistance and found v = 14.4 volts and r = 8.2 Ohms. P = (a) Approximate up. (b) Approximate op. (c) Write the estimate of the power, along with the estimated error, in engineering (i.e. ) notation. Be sure to state the units.
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