Recent content by gonfer

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    Finding the currents of four resistors in a circuit.

    There is another, systematic way of analyzing this kind of problems: We consider each loop separately and label a current that flows around the loop (let's say, counterclockwise). In this case we have two loops: let I1 and I2 be the currents. We construct a vector with these currents...
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    Need suggestion about Laplacian and Hamilton Operator

    It depends on the degree of detail and mathematical formalism that you want. "Quantum Mechanics" by David J. Griffiths. Not as good as his book on electrodynamics, but complete and very didactil. Ideal for self-study. When I studied Physics, we used "Quantum Mechanics" by Cohen-Tannoudji et al...
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    Finding the currents of four resistors in a circuit.

    Because it's a voltage drop. The voltage difference depends only on the initial and end points and not on the path followed to go from one point to the other. If we call Va to voltage of the top node and Vb the voltage of the bottom one, we have for the left branch Va - Vb = I1 R1 for...
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    Finding the currents of four resistors in a circuit.

    Do you know Kirchhoff's laws? If we consider I2 flowing upwards while I3 and I4 flow downwards, we have the following system I3 = I4 (R3 and R4 are in series) I2 = I1 + I3 (The current I2 distributes between the two branches) and then the voltage drop between the upper node...
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    Laplace Transform f(t) = e^t *sin(t)sin(5t)

    Use the addition formula for sines: sin(t)sin(5t) = (cos(4t) - cos(6t))/2
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