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intro325 - ECEN 325 Electronics Introduction Dr Aydin Ilker...

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ECEN 325 Electronics Introduction Dr. Aydın ˙ Ilker Kar¸ sılayan Texas A&M University Department of Electrical and Computer Engineering
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Ohm’s Law Ohm’s Law i 2 v 1 v R v i 1 v 2 v R v v = v 1 - v 2 v = v 1 - v 2 v = iR v = - iR i = Gv i = - Gv ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 1
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Ohm’s Law Ohm’s Law Example 10 V 1 I 1 V 1 = 5 R 10 V 1 I 1 V 1 = 5 R V 1 = 10 V V 1 = 10 V I 1 = 2 A I 1 = - 2 A ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 2
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KVL & KCL KVL & KCL KVL: Kirchoff’s Voltage Law Sum of all node-to-node voltages around the closed loop is zero. KCL: Kirchoff’s Current Law Sum of all currents leaving a node is zero. ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 3
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KVL KVL 1 i 4 i 3 L1 L2 1 2 R 2 R 1 R 3 R 4 v i i i 2 L 1 - v i + i 1 R 1 + i 3 R 3 = 0 L 2 i 2 R 2 + i 4 R 4 - i 3 R 3 = 0 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 4
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KVL KVL of loop direction R i i of loop R direction of loop V direction of loop V direction +iR ⇒ - iR +V ⇒ - V ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 5
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KVL KVL 3 i 1 i 2 1 i 4 2 v i R 4 R 3 R 2 R 1 i L 1 v i = i 1 R 1 + i 3 R 3 L 2 i 3 R 3 = i 2 R 2 + i 4 R 4 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 6
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KVL KVL Example 1 SS V CC R 1 R 2 I 2 I 1 I 3 V x R 3 V V CC = I 1 R 1 + I 3 R 3 V SS = I 2 R 2 + I 3 R 3 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 7
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KVL KVL Example 2 -5 V 1 V x I 2 10 100 50 I 3 +10 V I 10 = 50I 1 + 100I 3 - 5 = - 10I 2 + 100I 3 10 = 50I 1 + 10I 2 - 5 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 8
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KCL KCL 1 i 4 i 3 L1 L2 1 2 R 2 R 1 R 3 R 4 v i i i 2 1 - i 1 + i 2 + i 3 = 0 v 1 - v i R 1 + v 1 - v 2 R 2 + v 1 R 3 = 0 2 - i 2 + i 4 = 0 v 2 - v 1 R 2 + v 2 R 4 = 0 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 9
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KCL KCL Example 1 SS V CC R 1 R 2 I 2 I 1 I 3 V x R 3 V V x - V SS R 2 + V x - V CC R 1 + V x R 3 = 0 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 10
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KCL KCL Example 2 -5 V 1 V x I 2 10 100 50 I 3 +10 V I V x - ( - 5) 10 + V x 100 + V x - 10 50 = 0 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 11
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Linear Network Analysis Linear Network Analysis Series combination Z 1 Z 2 Z Z = Z 1 + Z 2 ECEN 325 Electronics - Aydın ˙ I. Kar¸ sılayan - Introduction 12
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