During the past years, our team developed an original lifetime measurement method for semiconductors wafers, called microwave phase-shift (µW-PS). It was successfully employed to determinate bulk lifetime and surface recombination velocities on silicon. We recently adapted the method to silicon carbide (SiC), using a continuous UV laser and acousto-optic modulator. The theory is presented, using the standard continuity equation in n-type 4H-SiC. The proposed measurement setup firstly allows to estimate a bulk lifetime ranging from 2.3 to 6.7 µs.