3. Based on an old quiz problem related to half-wave rectifier design. You may need your design if we have cold weather this winter. You are to design a battery charger for safe operation in a damp garage environment to use for charging your 12 VDC car battery. O Design specifications include: (a) Input is a 110rms VAC. (Vp 110x √2) at 60 Hz from a three wire service that meets the National Electrical Code. (b) Output is a nominal 12 volts VDC at the cathode of the diode. (c) Specify a resistor, R, to limit the maximum battery charging current to 10 amperes into the 12 volt car battery assuming the battery is completely dead (0 volts) when you first connect the charger. A not uncommon occurrence over the last two weeks of sub-zero temperatures. (d) There is no ripple voltage design specification. Explain why this is unnecessary in this application. (e) The battery charger case is metal. (1) Assume a diode with VF = 0.7 V (g) The fuse in the primary circuit is to protect the power supply from a short-circuit at the battery terminals either from total battery failure or accidentally short dropping a wrench across the battery terminals-oops!). Your Design must include: Well-labeled circuit diagram including the identification of the incoming "hot", "neutral" and "ground wires (U.S. standards) including the National Electric Code color coding of these wires and also show the correct color-coded wiring for a standard grounded duplex receptacle and plug. i. ii. Key design equations and supporting calculations Component specifications including: TA Transformer-turns ratio Diode-current and power ratings Your assessment and short discussion as to whether the laboratory 1N4001 diodes could be used Value for R1 serving as a current limiting resistor Current rating of a fuse in the primary circuit to protect the power supply against a short circuit condition at the battery terminal. circuiting the charging cable to ground. (For example