1. The problem statement, all variables and given/known data Consider a conductor loop which rotates about the y-axis with angular velocity w. The positive y-axis is directed into the paper, the x-axis to the right and the z-axis upwards. There is an inhomogeneous magnetic field along the positive x-axis. Calculate the magnetic flux through the conductor loop as a function of \Phi, which is the angle between the loop and the z-axis. 2. Relevant equations The inhomogeneus magnetic field can be described by: B = B_0 * (1 - z^2/a^2) * e_x 3. The attempt at a solution Φ = ∫∫ B dA So how do I figure out dA ? I was thinking about dA = l dz cos(φ) Φ = ∫ B l cos(φ) dz with the integral limits -a and a.