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An in situ observation system has been developed to observe the absolute electron energy spectra of electron beams generated by laser-plasma interaction. A phosphor screen (DRZ) coupled with a charge coupled device camera is used to detect the electrons. A new method is proposed to calibrate the absolute sensitivity of the detection system for a wide energy range with a single shot by using an electron beam generated by laser-plasma interaction. The sensitivity of the system is found to be high, which is comparable to that of an imaging plate.