Recent content by BuggyWungos

  1. BuggyWungos

    Magnetic Field of an infinite current-carrying wire at a point

    :bow: Thank you that's such a silly oversight, I even wrote it as r hat in latex and missed it lol
  2. BuggyWungos

    Magnetic Field of an infinite current-carrying wire at a point

    I'm surprised you were able to understand all that before I fixed it. I understand the second part of your comment, but where is ##\sqrt{x^2+y^2}## in the second step of my prof's solution? Edit: I would have expected it to end up like ##d\vec{B}(r) = \dfrac{\mu_0}{4\pi}...
  3. BuggyWungos

    Magnetic Field of an infinite current-carrying wire at a point

    My attempt: $$d\vec{B}(r) = \dfrac{\mu_0}{4\pi}\dfrac{Id\vec{l}r\sin{\theta}}{r^2}$$ $$d\vec{B}(r) = \dfrac{\mu_0}{4\pi}\dfrac{Id\vec{l}\sin{\theta}}{r}$$ $$ \sin{\theta} = \dfrac{y}{(x^2+y^2)^{1/2}}$$ $$ d\vec{B}(r) = \dfrac{\mu_0}{4\pi}\dfrac{Id\vec{l}}{r}\dfrac{y}{(x^2+y^2)^{1/2}}$$...
  4. BuggyWungos

    Why is current constant through a resistor?

    Right, cause ##R=0## and ##\dfrac{\delta V}{R}## would just be infinity :D To finish it off, in my original example, ##\dfrac{\delta V}{R_A} = I_A## and ##I_A## should be equal to the current running through the wires above and at n-m? If that's true, could I also say that the circuits current...
  5. BuggyWungos

    Why is current constant through a resistor?

    I'm going to simplify my model a little bit as I feel like I'm going in circles trying to understand what exactly is going on. 1) For an example like the one below, if I had thrown on a resistor with resistence any real number, the current through the resistor should be the same current...
  6. BuggyWungos

    Why is current constant through a resistor?

    Well, if that's true, why doesn't current get smaller as it goes through Resistor A compared to the wire above? If you applied Ohm's law to the wire above, you'd get a much larger current than applying ohms law on the resistor, in fact it would be infinite current... I know something isn't quite...
  7. BuggyWungos

    Why is current constant through a resistor?

    Say we doubled the resistence in the resistor A, wouldn't the formula spit out current to be half that of what it originallly was due to ##\delta V## remaining constant? $$R_2 = 2R_1$$ $$\dfrac{\delta V}{2R_1} = \dfrac{1}{2}I$$
  8. BuggyWungos

    Why is current constant through a resistor?

    I understand that the current in the top wire above A will be the same as the wire just below A, as it will be for the wire region marked by n to m, due to the fact that all current in equals all current out. My confusion lies in the first equation I supplied, the change in voltage through the...
  9. BuggyWungos

    Why does electric potential energy increase if you move against the field?

    In that case, would it be better to imagine a point charge in an electric field to be inbetween 2 oppositely charged plates? I'm still struggling to wrap my head around electric fields a little bit. A lot of diagrams show electric field lines in negative charges to be radially inwards...
  10. BuggyWungos

    Why does electric potential energy increase if you move against the field?

    I think I understand, it's got to do with how the electric force relates to the field. If the electric force points opposite of the electric field on a point charge, and the point charge is moved alongside the electric force, we wouldn't really need to do any work (negative work) as the electric...
  11. BuggyWungos

    Why does electric potential energy increase if you move against the field?

    My understanding of this question is that, if you have a proton standing against a positive electric field, and move it in the opposite direction of the field, you're putting in work and therefore should have greater electric potential energy. But that idea breaks down when you consider a...
  12. BuggyWungos

    Solving for potential using surface charge density of a sphere

    What is the correct electric field strength formula using rho? I understand that E = rho/(epsilon nought) would give the correct answer, but the formula I was given in my textbook was E = 2(pi)k(rho), which would simplify to E = rho/2(epsilon nought). Is the above formula used for another situation?
  13. BuggyWungos

    Solving for potential using surface charge density of a sphere

    surfafce area = 0.502 E = -q/A2(en) = 3800 -q = 3800*(A2(en)) -q = 1.68*10^(-8) -q = 3.37*10^(-8) V = kq/r V = (9.0*10^9)(-3.37*10^(-8))/0.2 V = -1519 V
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