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Lecture 27 Line integrals: Integration along curves in R
Lecture 27 Line integrals: Integration along curves in R

... so that r(a) is point P and r(b) is point Q. Now divide the parameter interval [a, b] into n subintervals of length ∆t = (b − a)/n: We do this by defining the partition points tk = a + k∆t, k = 0, 1, 2, · · · , n. These points define a set of n + 1 points Pk = r(tk ) = (x(tk ), y(tk ), z(tk )), k = ...
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... The electric field induces a biaxial compressive stress parallel to the film, as indicated on Fig. 2(g). When the compressive stress in the PDMS film reaches a critical value, creases develop on the surface of the film. The compressive stress increases with the applied electric field, and drives the ...
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... We know that the rain is accelerated by gravity so we may be tempted to just use our free-fall equations. The problem with this approach is that gravity is not the only force on the falling raindrop. In this case, air resistance is not negligible so we should not ignore it. Let’s investigate this fu ...
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... Electric potential energy is “just like” gravitational potential energy. Except that all matter exerts an attractive gravitational force, but charged particles exert either attractive or repulsive electrical forces—so we need to be careful with our signs. ...
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... Move particle distance d, keep speed ~0 How much work is done by hand on particle? W  Fd  qEd What is change in K.E.  of particle? K.E .  0 ...
Electric Potential (III) - McMaster Physics and Astronomy
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Introduction to Capacitance Part A What property of objects is best
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... and the capacitor discharged. For this situation, what is resistor? ...
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Potential energy

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