Recent content by nolachrymose

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    Effective Resistance Between Points in Circuit

    Homework Statement Four resistors are connected as shown (figure attached). Find the resistance between points a and b. Homework Equations R_{eq} = \sum{R_{n}} for series resistors The Attempt at a Solution The four resistors in the figure are in series. Therefore, to determine...
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    Potential Difference Between Capacitors in Circut

    Oh, I just figured it out! Because the capacitors on top and bottom are parallel, their charges must add. Since the total capacitance of each is the same, the charge on each must be equal to Q/2, not Q. Therefore, the potential difference must be half of what I'd originally found. However, I'm...
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    Potential Difference Between Capacitors in Circut

    In series capacitors, the sum of all voltages in the capacitors equals the voltage of the battery. But how does that help me solve the problem? Since the top two capacitors are effectively equal to those of the bottom two, the voltage of the battery should be split half and half, making the...
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    Potential Difference Between Capacitors in Circut

    Homework Statement The capacitors in the figure are initially uncharged and are connected as in the diagram (attached). Then switch S1 closed and switch S2 is left open. After a long wait, what is the magnitude of the potential difference V_{cd}? Answer in units of V. Homework Equations C =...
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    Magnitude of Electric Field in Insulating Cylinder

    I actually just figured out! The electric field is itself a cylinder coaxial with the given cylinder and radius 1.3cm. dA must therefore be equal to the surface area of the cylinder. Plugging everything in, I found the answer. Your explanation is perfect, collinsmark. I understand in this case...
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    Magnitude of Electric Field in Insulating Cylinder

    Homework Statement Consider a long, uniformly charged, cylindrical insulator of radius R and length l with charge density 1.8x10^-6 C/m^3. The value of the permittivity of space is 8.85419 × 10^−12. What is the magnitude of the electric field inside the insulate at a distance 1.3cm from the...
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    Non 1:1 Ratio in Acid-Base Neutralization

    But is that really all? My teacher had told us that for every hydrogen, a hydroxide is picked off. Thus, if the ratio is not 1:1, the reaction won't go to completion, and something other than a salt will be formed. Why is this not so then? To give an example, she gave us the following...
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    Proving Inequality: 1/(n+1) <= ln(1+1/n) <= 1/n

    I'm not quite sure if this is correct, but some things I noticed might be of help: 1. Well, one part of the inequality is trivial. It is quite clear that 1/(n+1) <= 1/n. 2. If you multiply all sides by n (and apply the logarithmic property to the middle term), you will find the inequality...
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    Hydrogen Peroxide oxidation state

    I learned the reason as being peroxide is a polyatomic, O_2^{-2}, so the bond stil works out. It's sort of like mercury(I) being Hg_2^{+2} and what not.
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    Non 1:1 Ratio in Acid-Base Neutralization

    Hi all, I'm pretty new to chemistry. Currently we're working on simply acid-base neutralizations, and I have a question. What happens when the ratio of hydroxides in the base to that of hydogens in the acid is >1. For instance, how would one predict the products of the following reaction...
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    Derivatives of Log and Exponential Functions

    For (j), he means this: \log_b{xy} = \log_b{x}+\log_b{y}
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    Turing Programming: Solve Cos Inverse Function

    I'm pretty sure there's a Taylor series for all the trigonometric functions, but I can't seem to find the one for arccos(). Try looking up on Google the Taylor series for inverse cosine, and see if you can find it. Learning an interpreted language before a compiled one? That's quite odd.
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    Turing Programming: Solve Cos Inverse Function

    Maybe you could make an arccos() look-up table? I don't know of any mathematical way to transfer cos(x) to x without arccos(). A look-up table would probably be faster anyways. You'd just need to make a function that finds the closest related value. By the way, I've never seen the language...
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    Calculating Average Force on a Tennis Ball During a Serve

    Try momentum-impluse theorem: F\Delta t = m\Delta v
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    Rewrite cos^6(x) in Terms of the First Power of the Cosine

    Sorry, I must have posted right before you edited your original post.