We measured the longitudinal electric field of the electrical pulses with a rise time less than 1 ps on a coplanar transmission line by electrooptic sampling. The longitudinal component is a sharp pulse and is only observed at the wavefront. The transverse component has no overshoot or undershoot. The mixing of longitudinal component to the transverse component is discussed for C3v crystals whose electrooptic coefficient is large. We developed the method to estimate the longitudinal and the transverse component of the electric field by the polarization control of a probe light without changing the probe configuration which affects sensitivity severely. The waveform and the rise time of the transverse electric field were eatimated, for the first time, by subtracting the influence of the longitudinal component.