EE292: Fundamentals of ECE Fall 2012 TTh 10:00-11:15 SEB 1242 Lecture 11 121002 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline • Review • Diodes • Lab Kits 3 Diode • Two terminal device β« Anode – positive polarity β« Cathode – negative polarity • Current flows from anode to cathode β« This is the typical sign convention 4 Voltage/Current Characteristics • Forward Bias β« Positive voltage π£π causes large currents β« Current flows easily through the device (from anode to cathode) β« Arbitrarily large current has almost constant voltage (diode is “on”) • Reverse Bias β« Negative voltage ο no current β« Open circuit (diode is “off”) • Reverse-Breakdown β« Large negative voltage causes large negative currents β« Similar operation as for forward bias 5 Voltage/Current for Typical Diode • Forward Bias β« “Knee” indicates where current starts to flow β« π£ππ = 0.6 or 0.7 π β« Diode supports any current through it • Reverse Bias β« Very small currents ο essentially no reverse current • Reverse-Breakdown β« π£ππ = −100 π β« Large reverse currents are possible 6 Ideal Diode Model • Two state model • “On” State β« Forward operation β« Diode is a perfect conductor ο short circuit • “Off” State β« Reverse biased β« No current through diode ο open circuit • Useful for “quick and dirty” understanding of a complicated circuit • Will improve this model to make it more realistic (offset model) 7 Circuit Analysis with Diodes • Assume state {on, off} for each ideal diode and check if the initial guess was correct β« ππ > 0 positive for “on” diode β« π£π < 0 negative for “off” diode ο These imply a correct guess β« Otherwise adjust guess and try again • Exhaustive search is daunting β« 2π different combinations for π diodes • Will require experience to make correct guess 8 Steps for Circuit Analysis with Ideal Diode 1. Assume a state for each diode, either on (i.e., a short circuit) or off (i.e., an open circuit). For π diodes there are 2π possible combinations of diode states 2. Analyze the circuit to determine the current through the diodes assumed to be on and the voltage across the diodes assumed to be off. 3. Check to see if the result is consistent with the assumed state for each diode. Current must flow in the forward direction for diodes assumed to be on. Furthermore, the voltage across the diodes assumed to be off must be positive at the cathode (i.e., reversed bias). 4. If the results are consistent with the assumed states, the analysis is finished. Otherwise, return to step 1 and choose a different combination of diode states. 9 Ideal Diode Example • Use the ideal-diode model to analyze the circuit. Start by assuming π·1 is off and π·2 is on. 10 Ideal Diode Example • π·1 is off ο open circuit • π·2 is on ο short circuit A B • π£π΄ = 10 π • π£π΅ = 10 π β« Disconnected resistor has no current • π£πΆ = 3 π β« Short circuit diode π 3 β« ππ·2 = π = 6 = 0.5 π΄ β« Consistent with on diode • π£π·1 = 7 π β« Diode should be on ο incorrect guess C 11 Ideal Diode Example • π·1 is on ο short circuit • π·2 is on ο short circuit ππ·2 C • π£πΆ = 3 π • KCL @ C β« 3−10 4 3 6 + = ππ·2 7 4 1 2 5 4 β« ππ·2 = − + = − < 0 β« Reverse bias current ο incorrect operation for π·2 12 Ideal Diode Example • π·1 is on ο short circuit • π·2 is off ο open circuit C • Using voltage divider β« π£πΆ = 10 6 10 =6π β« π£π·2 = 3 − π£π = 3 − 6 = −3 π ο Reverse biased ο “off” ο correct operation • π·1 current through series resistance β« ππ·1 = 10 (4+6) = 10 10 =1π΄>0 β« Current flow ο forward bias ο “on” ο correct operation 13 Ideal Diode Example • π·1 is off ο open circuit • π·2 is off ο open circuit • Why doesn’t this work? 14 Offset Diode Model • (Simple piecewise-linear diode equivalent circuit in book) • Two state model • “On” State β« Forward operation β« Diode has a fixed voltage across terminals ο π£π = π£ππ = 0.7 π • “Off” State β« Reverse biased β« No current through diode ο short circuit • More realistic than the ideal model • Circuit analysis works in the same way as for ideal case β« Replace “on” diode with 0.7 V battery 15 Offset Diode Model Example • Repeat previous example with offset model instead of ideal diode model