curved spacetimes. One of the difficulties in studying fields in Schwarzschild [@CS] and other black hole spacetimes, even when the fields are non-interacting, stems from the fact that the solutions to the field equations are functions whose properties are not well known.[^1] In the low-frequency regime, however, the situation is much simpler in Schwarzschild spacetime. In this regime, the mode functions of the massless scalar field are well known [@Candel]. The present authors and Sudarsky used this fact to find the response rate of a static scalar source [@HMS3] and an analytic approximation for the emission rate of low-energy particles from classical sources [@CHM2] outside the Schwarzschild black hole in closed form. On the other hand, the field equations of the electromagnetic field in a black hole spacetime are not decoupled and are difficult to analyze in the Lorenz gauge. However, if we require the field to be divergence-free on a two-sphere (the spherical Coulomb gauge), the equations for the physical modes reduce to decoupled scalar field equations. Furthermore, solutions in terms of familiar special functions can be found in the low-energy regime. These observations enabled us recently to calculate the response rate of a static electric charge outside a 