Recent content by martyg314

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    Number Operator in Matrix Form

    Hi- I have a basic QM problem I am trying to solve. We are just starting on the formalities of Dirac notation and Hermitian operators and were given a proof to do over Spring Break. I am stuck on how to set up the operators and wave equation in matrix and vector form to complete the proof as...
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    Derivation of first integral Euler-Lagrange equation

    Derivation of "first integral" Euler-Lagrange equation Homework Statement This is from Classical Mechanics by John Taylor, Problem 6.20: Argue that if it happens that f(y,y',x) does not depend on x then: EQUATION 1 \frac{df}{dx}=\frac{\delta f}{\delta y}y'+\frac{\delta f}{\delta...
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    How Accurate is My Solution for IC and VCE in a Silicon Transistor Circuit?

    This is for a 300 level electronics lab class and I'm wondering if I'm close: Homework Statement If the following silicon transistor (VBE = 0.6 V) has a B value of 100, determine IC and VCE. Homework Equations http://img862.imageshack.us/img862/80/circuit1.th.jpg Uploaded with...
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    How Does a Water Drop's Speed Change as It Falls and Gains Mass?

    Thanks for the tips. I think I finally got it. Knowing that \frac{dR}{dt} is constant, R = kt + R0 I also used the mass/volume/density equation suggested above. I switched variables to get the equation: \frac{dv}{dR} = \frac{g}{k} - \frac{3v}{R} (\rho omitted since we are dealing...
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    How Does a Water Drop's Speed Change as It Falls and Gains Mass?

    This is for a mechanics class. I'm sort of re-learning how to apply calculus and differential equations in this class, so I get stuck trying to figure out how to apply the math I learned 2 or more semesters ago. Any help would be greatly appreciated. Thanks, m.g. Homework Statement...