The behavior of the total electric field in an Alfven-type neutral sheet is considered for the time-dependent case. By assuming that the characteristics of the neutral sheet can be represented by an effective capacitance and inductance, a differential equation describing the behavior of the electric field is derived. The parameters for the neutral sheet system are its magnetic field strength, plasma density, and width. The numerical solution of this equation is found for two cases, one where the energy source of the neutral sheet is removed and the electric field decays away and a second where energy is pumped into the system as a pulse. In both cases the characteristic time scale of the electric field changes was of the order of the transit time of an Alfven wave across the system. This time constant agrees fairly well with the time constants of the earth's magnetotail and magnetopause but is shorter than what is commonly accepted for solar flares. The case where the neutral sheet is subjected to a pulse in energy from an external source shows a response that depends on the ratio of the time constant of the neutral sheet to the rise time of the pulse. This ratio, which measures the importance of the inductive component of the electric field, characterizes the different response of the neutral sheet to an external energy input.