ECE200 - Revised Prob 3 circuit 2 solution-HW#4

ECE200 - Revised Prob 3 circuit 2 solution-HW#4 -...

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Masnari/Escuti/Brickley 3. Assuming that the turn-on voltage for the diodes in the circuits shown below is 0.7 V: a. Determine if the diode is ‘on’ in each circuit. b. Find the currents I 1 , I 2 and I D in each circuit. c. Find the voltage at node X in each circuit. Circuit 2 Solution with proper turn-on voltage V V 7 . 0 = γ . (a) Assuming that the diode is ‘on’, the KVL and KCL equations become: (1) 0 3 ) 1 ( ) 3 ( 5 : 2 1 = + Ω Ω V I K I K V KVL loop outer (2) 0 3 ) 1 ( 7 . 0 ) 2 ( : 2 = + Ω Ω V I K V I K KVL D loop right Rewriting KVL equations (1) and (2) we have (1) V I K I K 8 ) 1 ( ) 3 ( 2 1 = Ω + Ω (2) V I K I K D 3 . 2 ) 2 ( ) 1 ( 2 = Ω Ω along with the KCL equation for node X (3) 0 : 2 1 = D X node I I I KCL Solving these three equations for the respective branch currents we get:
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