Consider the Boolean expression E(x, y, z) 4.1 4.2 4.3 4.4 Draw the logic circuit for E(x, y, z)=xyz+x+y+z Simplify E into an s-o-p form. Call this F Draw the logic circuit for F Copy and complete the following truth table. X 1 0 1 0 y 0 1 1 0 Z 1 0 0 1 E F

Q 4.12: The DC converter is used to control power flow from a DC voltage, V; = 110 V to a battery voltage. E= 220 V. The power transferred to the battery is 30 kW. The current ripple of the inductor is negligible. Determine (a) the duty cycle d, (b) the effective load resistance Reg. and (c) the average input current I. Q 4.13: An RL load is controlled by a converter. If load resistance R= 0.25 2, inductance L = 20 mH, supply voltage V;= 600, battery voltage E = 150 V, and chopping frequencyf= 250 Hz, determine the minimum and maximunm load current, the peak-to-pcak load ripple current, and average load current for d = 0.1 to 0.9 with a step of 0.1. Q 4.14: The step-up converter has R= 102, L=6.5mH. E=5 V. and d= 0.5. Find I. h, and AI. Q 4.15: The buck regulator has an input voltage. V. = 15 V. The required average output voltage V: = 5 V and the peak-to-peak output ripple voltage is 10 mV. The switching frequency is 20 kHz. The peak-to-peak ripple current of inductor is limited to…

4.16 The circuit of Fig. P4.16 can be used in a signalling sys- tem using one wire plus a common ground return. At any moment, the input has one of three values: +3 V, 0 V, -3 V. What is the status of the lamps for each input value? (Note that the lamps can be located apart from each other and that there may be several of each type of connection, all on one wire!) (+3 V V = 30 L-3 V D₁ Z red D₂ Ideal diodes 3-V lamps green