Recent content by kyryk

  1. K

    Calculating Potential in a Conducting Sphere and Wire Configuration

    Not a homework question. As a matter of fact, never seen such type of E&M questions in standard books. I suspect that the wire presents some sort of singularity in the solution that is a bit tricky to handle, at least I can't see a standard solution applying here. However, if I'm wrong and there...
  2. K

    Calculating Potential in a Conducting Sphere and Wire Configuration

    I am trying to solve the following problem: Consider the configuration of a conducting sphere of radius R held at potential V, and a conducting wire radially positioned with respect to the sphere with one end at R1>R, and the other end at R2>R1. What is the potential everywhere? I chalked...
  3. K

    Linearly dependent numbers over the rationals

    Sure, it is part of the definition of linearly dependent, thanks for clarifying it though. However, I still need an answer/suggestions to my actual question.
  4. K

    Linearly dependent numbers over the rationals

    Hi, Assume that the real positive numbers x_1,x_2,...,x_n are linearly dependent over the rational numbers, i.e. there are q_1,...,q_n in Q such that x_1*q_1+...+x_n*q_n=0. Is there an algorithm to calculate the coefficients q_i? Is there an algorithm to even check if the x_i's are linearly...
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