Recent content by ThirdEyeBlind

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    Prove Determinant Using the Triple Scalar Product

    Homework Statement I'm supposed to prove det A = \frac{1}{6} \epsilon_{ijk} \epsilon_{pqr} A_{ip} A_{jq} A_{kr} using the triple scalar product. Homework Equations \frac{1}{6} \epsilon_{ijk} \epsilon_{pqr} A_{ip} A_{jq} A_{ kr} (\vec u \times \vec v) \cdot \vec w = u_i v_j w_k...
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    How to Calculate Reaction Rate for Pseudo-First Order Kinetics?

    Homework Statement 2A + 2B -> C +D where rate = k [A] [B]^2 [A]_0 = .000443 M [B]_0 = 1.69 M A plot of ln [A] vs time has a slope of -9.87. What will the rate of this reaction be when [A]=[B]=1.412 M? Homework Equations The Attempt at a Solution From given information, this...
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    Electrochemistry - Cell Potential

    Homework Statement Line Notation Fe | Fe^(2+) (0.587) || Cd^(2+) (1.009) | Cd T = 297 K E(cell standard) = .04 V Find the potential when [Fe^(2+) changes by .393 M Work Cd^(2+) + Fe --> Cd + Fe^(2+) Q = [Fe^(2+)] / [Cd^2+] Q= [.587 + .393] / [1.009-.393] The Attempt at a...
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    Battery with voltage V=12V is connected to the primary of a transform

    Thank you for the quick response and explanation. I now understand.
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    Battery with voltage V=12V is connected to the primary of a transform

    Homework Statement A battery with voltage V=12V is connected to the primary of a transformer. A resistor with resistance R =20 Ohms is connected to the transformer secondary. The transformer has an iron core with Np=200 turns on the primary and Ns=600 turns on the secondary. Assume the...
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    Point Charge and Charged Sphere

    Alright so now I am getting the correct answer thanks to your hint but I am now stuck on another part. What is σb, the surface charge density at the outer edge of the shell? I was just thinking it would have been (1.1E-6 C) / (.049 m2 - .026 m2 * pi) which is the charge of the conducting...
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    Point Charge and Charged Sphere

    Homework Statement A point charge q1 = -7 μC is located at the center of a thick conducting shell of inner radius a = 2.6 cm and outer radius b = 4.9 cm, The conducting shell has a net charge of q2 = 1.1 μC. What is Ex(P), the value of the x-component of the electric field at point P...
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    Uncovering the Vertical Velocity of a Wave

    Homework Statement http://img683.imageshack.us/i/wave2.jpg/ The above figure shows height vs. displacement plot for a string which has a wave traveling to in the positive x direction at time t=2.5 sec with a velocity of 38 m/sec. What is the vertical (y) velocity of a piece of string at the...
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    How Does Damping Affect Oscillation Amplitude and Frequency?

    Homework Statement The drawing to the left shows a mass m= 1.8 kg hanging from a spring with spring constant k = 7 N/m. The mass is also attached to a paddle which is emersed in a tank of water with a total depth of 27 cm. When the mass oscillates, the paddle acts as a damping force given by...
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    What is the graph of a polar curve with specific r and theta values?

    Homework Statement Sketch a graph of the polar curve whose points satisfy the following: As theta increases from 0 to pi/2, r decreases from 4 to 2. As theta increases from pi/2 to pi, r decreases from 2 to 0. As theta increases from pi to 3pi/2, r decreases from 0 to -1. As theta increases...
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    Taylor/Maclaurin series problem

    I couldn't get Latex to correctly show what I have so I did it in paint. Is this correct? If it is, how do I evaluate this? Any help would be appreciated. EDIT: I think I figured it out. tan^-1 (x^2) = x^(2) - x^(6)/3 + x^(10)/5 -... and if you integrate the first term from 0 to 1/10, you...
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    Taylor/Maclaurin series problem

    Homework Statement Use series to show that the integral from 0 to 1/10 of arctan (x^2)dx is approx. 1/3000. What bound can you place on the error in this approximation? Homework Equations The Attempt at a Solution Manipulated Maclaurin series to get the sum from n=0 to infinity...
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