A parallel-plate capacitor of plate area A and separation d is filled with N dielectric layers parallel to the plates, each of thickness d/N. The dielectric constant of the m-th layer is Kₘ = K(1 + m/N). For very large N, the capacitance is C = α(Kε₀A/d). Find α.
Physics · Capacitor
A parallel-plate capacitor of plate area A and separation d is filled with N dielectric layers parallel to the plates, each of thickness d/N. The dielectric constant of the m-th layer is Kₘ = K(1 + m/N). For very large N, the capacitance is C = α(Kε₀A/d). Find α.