Recent content by bubblewrap

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    I Fermi level in a nonuniformly doped semiconductor

    Yes but I learned that Fermi level increases (as in, it gets closer to the conduction band energy) when the semiconductor is n-type doped (donor doped) and decreases when it's p-type doped (acceptor doped). What I'm curious about is, in the case of a nonuniformly doped semiconductor (that has...
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    I Fermi level in a nonuniformly doped semiconductor

    Fermi level is known to be constant in a equilibrium state. It is also known to vary according to the number of donors/acceptors. In a nonuniformly doped semiconductor that has varying number of donors/acceptors at different position, how is the fermi level decided? Is it the average number of...
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    Topological insulators and their optical properties

    I have tried to write down the boundary conditions in this case and looked into them. As conditions i) and ii) were trivial, i looked into iii) and iv) for information that I could use. But all I got was that for the transmitted wave to have an angle, the reflective wave should also have an...
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    Question on the work done while charging up a capacitor.

    So the work done when charging up a capacitor is ##dW=VdQ## However, when we add a charge ##dQ## to the capacitor, ##V## also changes accordingly, so I was wondering why the work done wasn't written as ##dW=VdQ+QdV## (one that also takes into account t he change in ##V##). Thanks in advance.
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    Dipole problem with electric fields

    Dipole problem (which is solved through mirror imaging) has been troubling me with its solution. I understand everything except how the dipole moment's coordinates came to be, since when converted into x-y axis, its doesn't make sense. (problem 4.6) The screenshot contains the solution which...
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    Calculating the Electric Field outside a dielectric

    In the textbook (Introduction to Electrodynamics by Griffiths), the problem in the attached image asks to find the electric field ##E## outside a dielectric. The problem consists of dividing the electric field into the one produced by the negative charges in the dielectric and another by the...
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    I Confused about the boundary conditions on a conductor

    The constant is from the equation ##V=-E_0 z+C## for ##r>>R## And the question was for a uncharged metal sphere of radius R that was placed in a electric field ##E_0## (which was taken to be the direction of z), find the potential outside the metal sphere. (Since the induced charges inside the...
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    I Confused about the boundary conditions on a conductor

    But in the textbook it said that there are no terms ## A_{l \, out} ## and ## B_{l \, in} ##, since they diverge at the points relevant to them.
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    I Confused about the boundary conditions on a conductor

    Since the term ##r^{l}## diverges as r>>R, it is not considered at r>R, similar logic was also applied for ##r^{-l-1}## for the case inside the sphere. Since both terms should have the same value at r=R (since the potential is continuous at any boundary) the terms ##A_l R^{l}## and ##B_l...
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    I Confused about the boundary conditions on a conductor

    In the textbook (attached image) it says that the boundary condition is V=0 at r=R. This creates a correlation that ##B_l=-A_l R^{2l+1}## but the potential at any boundary is continuous so when we take this account, we get. ##B_l=A_l R^{2l+1}## These two clearly contradict each other. I'd...
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    Electric Field and Potential in a conductor

    So in my textbook (Introduction to Electrodynamics by Griffiths) it said that inside a conductor, the electric field E would have to zero, since if it wasn't the free charges would move accordingly and create a electric field that cancels the original field. But in a question that soon followed...
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    Harmonic oscillator with friction

    Why doesn't the period change from the formula ##T=2π\frac{\sqrt{m}}{\sqrt{k}}## shouldn't it change since friction is now on the line of forces acting on the object?
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    Harmonic oscillator with friction

    The object stops at point ##x_5## and moves 2T seconds. (##T=2π\frac{\sqrt{m}}{\sqrt{k}}##)
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    Harmonic oscillator with friction

    No the five movements, since the objects starts from an extreme position, gets the object to stop at an extreme position.
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    Harmonic oscillator with friction

    When the block is at the maximum displacement it needs acceleration higher than the maximum of static friction force. The objects stops when the force from Hooke's law is smaller thatn this maximum of static friction force. I found out that after 5 movements (here a movement is when the object...
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