Recent content by Dorian Black

  1. Dorian Black

    Magnetic forces within a closed ferrous core

    If a toroidal ferrous core has a number of windings round it and a DC current going through them, would this magnetic core be subjected to a 'shrinking force'? To phrase it more clearly, if the toroidal core was compressible, would it actually get compressed? On the one hand, since the...
  2. Dorian Black

    Faraday's Law for a linearly rising magnetic field

    You're right Philip. The inductor has two 'emfs'; one due to the external source and one due to its own current. -N x dΦ/dt is not equal to Ldi/dt as I had blasphemously believed. Thanks a lot for helping resolve this.
  3. Dorian Black

    Faraday's Law for a linearly rising magnetic field

    Faraday's Law is as general as it gets for a case like this. The only 'circuit theory' expression I reverted to was v=Ldi/dt. I'm hoping someone could show how this can be any different from Faraday's dΦ/dt and how it could ever compromise generality in the current context. Again, the two can be...
  4. Dorian Black

    Faraday's Law for a linearly rising magnetic field

    Thanks. The problem is precisely in those last two words you used; "constant emf". This emf is produced across an inductor (the loop). But an inductor cannot maintain an emf across itself without a time-varying current running through it (v=L di/dt). One might reply that the emf here is (v=-N x...
  5. Dorian Black

    Faraday's Law for a linearly rising magnetic field

    Using the principle of Continuity of Current (∇⋅J=-dpv/dt), the movement of charges will constitute a current that will have to result in the accumulation of charges somewhere; this somewhere being the ends of the loop. Replacing the open-end with a capacitor might make things clearer, although...
  6. Dorian Black

    Faraday's Law for a linearly rising magnetic field

    Hi, Imagine a conductive wire bent to the shape of a loop without its ends meeting. A magnet is moved with respect to the loop such that the magnetic field crossing it (perpendicularly) is linearly increasing with time (Φ=kt) where k is a constant. The induced emf is the rate of change of...
  7. Dorian Black

    Transmission Line Reflected Waves

    Imagine the two waves as they travel opposite each other; one incident and one reflected. This would bring about a different sum of the amplitudes at different times and at different locations along the line. Two sine waves running in opposite directions; neither would they cancel everywhere...
  8. Dorian Black

    Limitations of LC Circuit Charging with Constant EMF

    I'm aware of the amendment to Ampere's Law through the addition of displacement current. Yet this doesn't really resolve the issue of how current can be present in the loop -unidirectionally- without accounting to a continuous rise in capacitor voltage. In any case, thanks a lot for giving this...
  9. Dorian Black

    Limitations of LC Circuit Charging with Constant EMF

    If the current is NOT zero, charges are then moving along the loop. This will mean they have to be accumulating somewhere; that somewhere necessarily having to be the capacitor plates. The voltage would then keep on rising (which you don't believe to be the case). In short, if a loop is...
  10. Dorian Black

    Limitations of LC Circuit Charging with Constant EMF

    Thanks @BiGyElLoWhAt . My final question is this: If the voltage across the capacitor now reaches the constant value you mentioned and remains so, this would imply that no current could be running in the loop (after that constant voltage was achieved). So as far as the inductor is concerned at...
  11. Dorian Black

    Limitations of LC Circuit Charging with Constant EMF

    Hi, A capacitor has both its terminals connected together using a wire in a rather lengthy circular fashion, hence acting as a significant inductance. If the area encircled by this 'circuit' is subjected to a linearly rising magnetic field (B=k x t) where k is a constant, the emf induced -due...
  12. Dorian Black

    Electric/Magnetic vicious cycle

    Apologies for the melodramatic title. In studying AC current distribution in cables (skin effect), one can view the AC current as producing a time varying magnetic field in phase with the current itself (Ampere's Law). This in turn creates an electromotive force 90 out of phase with the current...
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