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Maxwell's Relations of Thermodynamic Functions

The following are Maxwell's Relations right? [itex]\left(\frac{\partial s}{\partial v}\right)_{T}[/itex] = [itex]\left(\frac{\partial p}{\partial T}\right)_{v}[/itex] [itex]\left(\frac{\partial...

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Falling object in gravitation field

I am trying to study the motion of a falling body in the earthÂ’s gravitational field however not assuming a constant acceleration. I want to work out the distance travelled in a given time. We know...

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Power and forces

Hello forum. I am finding it hard to wrap my mind around the concept of power when considering forces. We can derive [itex]\text{P} = \text{F} \cdot v[/itex] but what now does the symbol F really...

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Integral from an electric field calculation

Hi all, Any ideas how to solve this integral? $$ \int_{0}^{\pi} \frac{(z-R\cos{\theta})\sin{\theta}d\theta}{R^2+z^2-2zr\cos{\theta}}$$ It crops up in a calculation of the electric field for a spherical...

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Large Scale Generators

So, I was wondering if a conducting loop was placed in orbit around the Earth would it be able to generate a current?

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Mermin-Wagner theorem and 2D magnetism

I am a little confused about the Mermin-Wagner theorem, and the assumptions it makes, and I would like to better understand the 'exceptions' to the rule that occur in practical (non-ideal) scenarios....

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How current relates to capacitance

Hi all, I have a simple circuit with a battery, resistor, and finally, the capacitor. Am I correct in saying that adding additional resistors will increase the charging time, because adding resistors...

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Recursive model for body in fluid

Good evening, I've been trying to wrap my head around this problem for some time and I just can't seem to get it straight. What I am trying to achieve: I want to program a recursive model that...

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Converting from Static to Dynamic Understanding the Darcy Weisbach

Trying to get my head around something with the Darcy Weisbach. It is used to calculate the head loss of a moving fluid within a pipe. So for example if we take a pipe with an entry point 6m above a...

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The philosophy of squaring > Why no f=ma^2

Please watch 05:00 to 08:00 http://www.youtube.com/watch?v=jbmFcGhTnS0 Force = Mass x Acceleration So for example, F=10 grams x 3 acceleration What that really means is, F=10 grams x 1 acceleration...

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Calculation of Electric Susceptibility In Solids.

I'm curious what models there are for calculating the Electric Susceptibility in crystalline solids and any books that describe maxwell equations in solids well. I'm interested in how to predict index...

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Michelson Interferometer

Hello Forum I have constructing a Michelson Interferometer using sodium light. For viewing the fringes, I have used spectrometer telescope with objective lens of 178mm focal length, 35mm dia and...

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Gravitational law and point mass

Newton's law of universal gravitation states that every point mass in the universe attracts every other point mass with a force that is directly proportional to the product of their masses and...

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Condition of the work energy theorem

Hi, After reading several resources about work and energy, I am confused about the conditions that should be satisfied in order to be able to apply work energy theorem. It seems that textbooks have...

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Electromagnetics Minus the Fields

Basically my question is this: could we, in principle, formulate all of classical electromagnetic theory purely in terms of the force one charge exerts on another, or do we need to include the...

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electric field in a hollow charged sphere

I am wondering about why the electric field in a hollow sphere with charges on its surface would be zero. I have thought about the gaussian law argument for it. It only guarantees that the net number...

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Bicycles and Microwaves

My friends and I have thought about this for a few years now and still can't come to a conclusion. If an electronic device was placed on a push bike and could be powered by it (for arguments sake we...

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pulley system with one mass and apparently independent forces?

So at my gym, there's a cable machine that works like this: You pull on one cable and you lift x mass using y force. You pull the other and find the same thing. If, however, you pull on both, you're...

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Simple doubt in induced charge

When a positive point charge q is brought close to a neutral conducting spherical shell then negative charges will be induced on the part of the shell closer to q and equal positive charges will appear...

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Air to Water Heat Exchanger using Pex Tubing

I have a project to build a well insulated cylindrical vessel approx 220 cm in diameter and 125 cm in depth. Like a drum within a drum, there will another circular level that will create a channel of...

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