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Both numerical and experimental studies of the voltage distribution in a pulsed long dielectric barrier discharge plasma actuator have been performed. The results demonstrate the importance of electrodynamic effects in actuators for which the length is comparable with the length of the propagating pulses. These effects lead to a nonuniform voltage distribution along the electrodes, voltage doubling at the end of the actuator, nonoptimized power coupling to the actuator, and ringing. In addition to the direct voltage measurements, images of the discharge were taken which revealed its nonuniform structure.