Question

Objective Integrate material from Lecture 2 into practical problem. The circuit below shows a filter commonly used as the output stage of a switch mode power supply. In a switch mode power supply, Vin() is switched between 0 and the DC input supply voltage, in this case 12V. The filter smooths the switched input so that it is close to DC at the desired output level (see figure below circuit). The desired output level is set by controlling the proportion of time the input is switched on. For example, if we want 6V at the output, the 12V input would only be switched on 50% of the time. The proportion of time that the input is switched on is called the duty cycle. In this tutorial, you are interested in determining the start-up behaviour of the system Assume that the capacitor and inductor are de-energised. At t-0, Vin(t) is switched to 12 V. How long will it take for Vout to reach 6V? 1 mH 50 mQ Vin(t) 1 Q Vout(t Vin(t Voutlt) SMPS Filter

Answer 1