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F07%20HW%2009%20all-s - EECS 314 Fall 2007 HW 09 Problem 1...

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EECS 314 Fall 2007 HW 09 Problem 1 Student's name ___________________________ Discussion section # __________ (Last name, first name, IN INK) © 2007 Alexander Ganago Page 1 of 2 The big picture This problem introduces several important aspects of rectifier circuits: the actual voltages across the load resistance (they are lower than the peak voltage of the sinusoidal AC source due to the voltage drops across the diodes: in the bridge circuit, two diodes are in series with the load), the polarity of output voltage, and the careful choice of the ground node. Refer to the file Rectifier circuits and to the lecture notes already posted on the CTools web site. Problem Part 1 (10 points) Consider the bridge rectifier circuit shown on the first diagram. Assume the offset diode model with V DO = 0.7 V and the following circuit parameters: V IN = (5 V) cos(2 π 60 t) R LOAD = 20 Ω 1. Sketch the output voltage V OUT across the load resistor; calculate its maximal and minimal values (in volts) 2. Calculate the maximal and minimal current I LOAD through the load resistor (in mA) 3. Calculate the interval of time (in msec), over which the output voltage remains equal to zero during each period of the input sinusoidal voltage at 60 Hz. Part 2 (5 points) Repeat for the second circuit: calculate 4. Sketch the output voltage V OUT across the load resistor; calculate its maximal and minimal values (in volts) 5. Calculate the maximal and minimal current I LOAD through the load resistor (in mA) 6. Calculate the interval of time (in msec), over which the output voltage remains equal to zero during each
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EECS 314 Fall 2007 HW 09 Problem 1 Student's name ___________________________ Discussion section # __________ (Last name, first name, IN INK) © 2007 Alexander Ganago Page 2 of 2 period of the input sinusoidal voltage at 60 Hz. Part 3 (10 points) Consider the circuit shown on the third diagram, which is very similar to that on the second diagram above, but the student who built it decided to ground the transformer’s output coil in addition to grounding the load resistor. Analyze and explain how the circuit operates over one period of the input sinusoidal voltage: for simplicity, consider the two moments of time, labeled T 1 and T 2 on the sketch below. For each moment of time T 1 and T 2 , do the following: 7. Explain which diodes (A, B, C, E) are conducting 8. Explain whether the current flows through the load resistor 9. Calculate the the output voltage V OUT across the load resistor Write your conclusion on the operation of the rectifier circuit with two ground nodes shown here: 10. Explain whether adding the second ground node is effective 11. Explain whether adding the second ground node is safe 12. Add any other comments on the operation of this circuit if you wish
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EECS 314 Fall 2007 HW 09 Problem 2 Student's name ___________________________ Discussion section # __________ (Last name, first name, IN INK) © 2007 Alexander Ganago For The big picture , refer to the 3-page document Power Supply and Voltage Regulation attached to this set of problems.
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