Question

A parallel-plate capacitor with circular plates is charged by a constant current i. the radius a of the plates is much larger than the distance d between them, so fringing effects are negligible. calculate b(r), the magnitude of the magnetic field inside the capacitor as a function of distance from the axis joining the center points of the circular plates. express your answer in terms of μ0 and given quantities.

Answer 1

1. The problem statement, all variables and given/known data A parallel-plate capacitor of capacitance C with circular plates is charged by a constant current I. The radius a of the plates is much larger than the distance d between them, so fringing effects are negligible. Calculate B(r), the magnitude of the magnetic field inside the capacitor as a function of distance from the axis joining the center points of the circular plates. 2. Relevant equations When a capacitor is charged, the electric field E, and hence the electric flux Φ, between the plates changes. This change in flux induces a magnetic field, according to Ampère's law as extended by Maxwell: ∮B⃗ ⋅dl⃗ =μ0(I+ϵ0dΦdt). You will calculate this magnetic field in the space between capacitor plates, where the electric flux changes but the conduction current I is zero.