hw8sol - Vin D1 D2 D3 D4 V I 0 2 6 10 on on on on 0 0 on on on on 2 V 2 mA off on on ofEE SOLUTION TO HOMEWORK 8 f 5 V 5 mA P10.39 n off o on off 5 V 5

# hw8sol - Vin D1 D2 D3 D4 V I 0 2 6 10 on on on on 0 0 on on...

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Unformatted text preview: ) Vin D1 D2 D3 D4 V I 0 2 6 10 on on on on 0 0 on on on on 2 V 2 mA off on on ofEE100/42/43 SOLUTION TO HOMEWORK 8 f 5 V 5 mA P10.39 n off o on off 5 V 5 mA (a) The diode is on, when v >0. When the diode is on, I = V/1k. he plot of V versusThe diode is off, when v <0. When the diode is off, I = 0. Vin is: Therefore, P10.39 (b) The diode is on when v > 5V. When the diode is on, I = (V-5)/2k. The diode is off when v < 5V. When the diode is off, I = 0. Therefore, 382 (c) When V > 0, Diode A is on; Diode B is off. I = V/1k. When V < 0, Diode A is off; Diode B is on. I = V/2k. 382 (d) When V > 0, Diode C is on; Diode B is off. I = V/1k. When V < 0 or V=0, Diode C is off; Diode D is on. I = any negative value. But V can only be zero because 0.40 short circuit uDiodeiD). igh if either or both of the inputs are high. If both P1 of the (a) The o ( tput s h inputs are low the ouput is low. This is an OR gate. (b) The output is high only if both inputs are high. This is an AND gate P10.41 When the sinusiodal source is positive, D2 is on and D1 is off. Then, we have v o (t ) = 2.5 sin(2pt ). Therefore, P10.67 he output is ) igh if either or both of the inputs are high. If both 1h ts are low the ouput henow. diode is off, OR circuit looks like this: W is l the This is an the gate. The output is high only if both inputs are high. This is an AND gate. en the sinusiodal source is positive, D2 is on and D1 is off. Then, we v o (t ) = 2.5 sin(2pt ). en the source is negative, D1 is on and D2 is off. Then, we have ) = -2.5 sin(2pt ). V1 nonlinear two-terminal device is modeled by the piecewise-linear From the circuit, we know, Vin e Vo. roach, the equivalent circuit of the device for =ach linear segment Because se diode itoff, V1 istance Vin ists of a voltage source in the ries wis h a res> Vo (= . ). From the circuit, V1 = 2V (voltage divider). Therefore, we have Vin < 2. So, when Vin < 2, Vo = Vin. 2) From 1), we know when the diode is on, Vin > 2. When the diode is on, the circuit looks like: v = Ra i +Va 383 By applying the KCL at the Vo node, we have: Then, we have: Vo = 0.5 Vin + 1. So,when Vin > 2, Vo = 0.5 Vin +1. 3) Combining 1) and 2), we have: P10.67 TP10.68 10.2 1) A clamp circuit adds or subtracts a dc component to the input waveform such that either the positive peak or the negative peak is forced to as umdiode is off. The ned v looks An Assumesthe e a predetermicircuitalue. like:example circuit that clamps the positive peak to +5 V is shown below: From the circuit, we know . This Vx value will turn on the diode. Therefore, the assumption is wrong. 2) Assume the diode is on. The circuit looks like this: By applying KCL at node Vx, we have: Vx = 16/7 volts. Ix = Vx/4k = 4/7 (mA). Ix is positive, flowing from Vx to GND. This Ix value is consistent with the assumption that the diode is on. Therefore, Vx = 16/7 Volts; Ix = 4/7 (mA). P7.6 (a) 101.101b = 2^2+2^0 + 2^(-1) + 2^(-3) = 5.625 (b) 7.75 (c) 10.25 (d) 7.875 (e) 8.3125 (f) 21.375 P7.11 (a) 173 = 10101101b = 255o = ADh (b) 299.5 = 100101011.1b = 453.4o = 12B.8h (c) 735.75 = 1011011111.11b = 1337.6o = 2DF.Ch (d) 313.0625 = 100111001.0001b = 471.04o = 139.1h (e) 112.25 = 1110000.01b = 160.2o = 70.4h (note: b=binary; o = octal; h = hexadecimal) ...
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• Fall '08
• CHUA
• Logic gate, Diode B, Thévenin's theorem, OR Gate

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