1. The problem statement, all variables and given/known data A long, straight wire has a line charge, λ, that varies in time according to: λ = λ0 exp(-βt). A square wire loop of dimension a is located adjacent to the wire at a distance of a from the wire. Calculate expressions for the displacement current at the center of the wire loop and the magnetic flux through the loop. a = the side length of the square wire loop. λ0 = the initial charge of the line charge at time t = 0 β = I assume some kind of constant. I haven't encountered this variable in a displacement current problem before. 2. Relevant equations idisp = ε0 * dΦe/dt ε = -dΦm/dt Φm = ∫B ⋅ dA Φe = ∫E ⋅ dA = qenc / ∈0 ∫ E ⋅ dl = -dΦm / dt 3. The attempt at a solution I'm pretty sure I can find an expression for the electric field first by integrating the equation for the time-varying charge, but I'm not sure how to set that up. I think I should integrate with respect to time and treat radius as a constant. From the electric field I can use Faraday's Law to find the emf, but again I'm unsure as to how exactly to set up the math.