To represent an electric arc in MATLAB and measure its parameters such as voltage, current, and temperature, you can simulate the circuit using MATLAB's Simulink toolbox. First, create a circuit model that includes components like resistors, capacitors, and inductors to represent the electrical properties of the arc. Then, use appropriate sensors to measure voltage and current across the arc, and incorporate a temperature sensor to measure the arc temperature. Finally, use MATLAB functions to analyze the data collected from the sensors and calculate the arc parameters.