1. The problem statement, all variables and given/known data I am designing a solenoid for a project to meet several specifications. I am attempting to induce an emf of approximately 2V in my circuit by moving a magnet in and out of the coil. I know the magnet has an approximate field strength of 1T. I am trying to determine necessary solenoid specs (#of wraps, length, radius) based on these values to generate the emf. However i am unsure how to calculate values such as change of flux over time and change of current over time needed to determine necessary coil characteristics. 2. Relevant equations Faraday's Law of induction ε = -dΦ/dt Induction L = μN^2A/L Self Induced Emf ε = -Ldi/dt Could the change of flux with respect to time depend based on how fast the magnet is moved in and out of the coil? Appreciate any insight!