Recent content by zoso335

  1. Z

    Why Is Input Impedance Different from Output Impedance in Electronic Circuits?

    If you connect a load resistor, you would calculate the equivalent resistance and then from that calculate the output voltage. It will be greater than 5v. And Cwatters, I don't get why one of those examples is input impedance and the other is output. Both have some fixed resistance which causes...
  2. Z

    Why Is Input Impedance Different from Output Impedance in Electronic Circuits?

    I'm having a really hard time understanding input vs. output impedance and also the usefulness of the Thevenin model. Let's say we have a simple voltage divider consisting of two equal resistors. The output voltage is between the resistors. If the input voltage is 10v the output voltage has...
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    Divergence of Spherical Coordinates

    Homework Statement Compute the divergence of v = (1/(r^2)) r where r = sin(u)cos(v)i + sin(u)sin(v)j + cos(u)k, r^2 = x^2 + y^2 + z^2 The Attempt at a Solution I can only think to express r as a function of x,y,z and do it. I know there's a simpler way though, but it's driving me...
  4. Z

    Chain Rule for Vector Function

    Homework Statement I'm trying to figure out how to take grad(f(x(t)) where x(t) is a vector. Since it's part of a physics problem, it's assumed x(t) is in 3-dimensional space. The Attempt at a Solution My guess is that grad(f(x(t)) = ((∂f/∂x)(∂x/∂x),(∂f/∂x)(∂x/∂y),(∂f/∂x)(∂x/∂z)) but...
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    Calculating Charge and Volume Density for Non-uniform Ball

    That's interesting though because my professor sent out and email giving hints, and for the volume charge density he suggested using Gauss' Law in differential form. So...there must be something I'm not doing right with that.
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    Calculating Charge and Volume Density for Non-uniform Ball

    Homework Statement "Charge is distributed spherically-symmetrically but nonuniformly within a ball of radius a. There is no charge outside the ball and no sheet-charge on its surface. The (radial) electric field is uniform within the ball, having the constant value Ea. a.) Calculate the...
  7. Z

    Infinite Square Well with uniform probability density for a/4<x<3a/4

    well the probability density is the magnitude square of the wave function. And, the wave function of an infinite well always fits an integer multiple of half wavelengths. So, since the probability density is uniform, the wave function has to be uniform in this region, but I don't know how to...
  8. Z

    Infinite Square Well with uniform probability density for a/4<x<3a/4

    Homework Statement The potential for an infinite square well is given by V=0 for 0<x<a and infinite elsewhere. Suppose a particle initially(t=0) has uniform probability density in the region a/4<x<3a/4 : a.) Sketch the probability density b.) Write an expression for the wavefunction...
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