Lecture05 - Chapter 2

Lecture05 - Chapter 2 - directions i 1(t i 2(t i 4(t i 5(t...

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1 EE216 Circuit Analysis I Lecture # 5 – Chapter 2
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2 Electric Circuit Any electric circuit has threeimportant characteristics: 1. A source of potential difference 2. A completepath for current flow 3. A finiteresistance Theresistance is in the circuit for thepurposeof either generating heat or limiting theamount of current
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3 Nodes, Branches & Loops Node – point wheretwo or more circuit elements areconnected. Branch – any component connected in the circuit between two nodes. Loop – a closed path within the circuit which never goes over a nodetwice. R6 10 ohms R5 20 ohms R4 12 ohms R3 16 ohms R1 8 ohms R2 8 ohms 80 Volts
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4 Kirchhoff's Laws Current Law (KCL) Voltage Law (KVL)
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5 Kirchhoff's Current Law (KCL) At any instant the algebraic sum of thecurrents flowing into any junction in a circuit is zero. Chargestored in node is zero. For KCL we must have an idea about the reference direction of thecurrent. No concern about actual current
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Unformatted text preview: directions. i 1 (t) i 2 (t) i 4 (t) i 5 (t) i 3 (t) ∑ = = n j j t i 1 ) ( 6 Formulations of KCL 7 KCL Example 8 A Major Implication of KCL 9 Generalization of KCL 10 Generalized KCL Examples 11 Kirchhoff's Voltage Law (KVL) • The algebraic sum of all the voltages around any loop in a circuit equals zero. • Conservation of energy. • For KVL we must have an idea about the reference direction of the voltage. No concern about actual voltage directions. ∑ = = n j j t v 1 ) ( 12 Formulations of KVL 13 KVL Example 14 A Major Implication of KVL 15 An Underlying Assumption of KVL • No time-varying magnetic flux through the loop, otherwise, there would be an induced voltage (Faraday's Law) 16 Example • Find current flowing through R4 • Voltage across R3 • Power absorbed by supply R 6 ohms 10 R 5 ohms 20 R 4 ohms 12 R 3 ohms 16 R 1 ohms 8 R 2 ohms 8 Volts 80...
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