Just as Fourier's law and the heat balance can be employed to characterize temperature distribution, analogous relationships are available to model field problems in other areas of engineering. For example, electrical engineers use a similar approach when modeling electrostatic fields. Under a number of simplifying assumptions, an analog of Fourier's law can be represented in one-dimensional form as
whereD is called the electric flux density
where
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Numerical Methods For Engineers, 7 Ed
- A sound with frequency f is produced by a source traveling along a line with speed v. If an observer is traveling with speed v along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is (C+VO) F₂ where c is the speed of sound, about 332 m/s. (This is the Doppler effect.) Suppose that, at a particular moment, you are in a train traveling at 40 m/s and accelerating at 1.4 m/s². A train is approaching you from the opposite direction on the other track at 50 m/s, accelerating at 0.3 m/s², and sounds its whistle, which has a frequency of 475 Hz. At that instant, what is the perceived frequency (in Hz) that you hear? (Round your answer to one decimal place.) 576.6 X Hz f。 = How fast (in Hz/s) is it changing? (Round your answer to two decimal places.) 4.65 X Hz/sarrow_forward24arrow_forward5.4 Problem #32arrow_forward
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