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**Ohm’s law and Kirchhoff's laws**

305221, Computer Electrical Circuit Analysis การวิเคราะห์วงจรไฟฟ้าทางคอมพิวเตอร์ 3(2-3-6) ณรงค์ชัย มุ่งแฝงกลาง คมกริช มาเที่ยง สัปดาห์ที่ 3 Ohm’s law and Kirchhoff's laws

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Voltage & Current Division 5 Assignments

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Objectives เพื่อให้นิสิตมีความรู้ความเข้าใจเกี่ยวกับ Kirchhoff’s current Law เพื่อให้นิสิตมีความรู้ความเข้าใจเกี่ยวกับ Kirchhoff’s Voltage Law เพื่อให้นิสิตมีความรู้ความเข้าใจเกี่ยวกับ Voltage และ Current Division

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Branch Matthew Sadiku, define A branch represents a single element such as a voltage source or a resistor. William Hayt, define a branch as a single path in a network, composed of one simple element and the node at each end of that element.

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Node Matthew Sadiku, a node is the point of connection between two or more branches. William Hayt, a point at which two or more elements have a common connection is called “a node”. =

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Path & Loop William Hayt, The set of nodes and elements that we have passed through is defined as “a path”. Matthew Sadiku, A loop is any closed path in a circuit. William Hayt, If the node at which we started is the same as the node on which we ended, then the path is, by definition, a closed path or “a loop”.

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**Branches, Nodes, Path and Loops**

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Voltage & Current Division 5 Assignments

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**Kirchhoff’s Current Law**

Kirchhoff’s current law (KCL) states that “the algebraic sum of currents entering a node (or a closed boundary) is zero”.

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KCL Example

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Voltage & Current Division 5 Assignments

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**Kirchhoff’s Voltage Law**

Kirchhoff’s voltage law (KVL) states “that the algebraic sum of all volt-ages around a closed path (or loop) is zero”.

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Determine ix and vx ?

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Determine ix and vx ?

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Determine vR2 and v2 ?

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**Determine vx in the circuit ?**

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**Determine vx in the circuit ?**

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Determine i and vo ?

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**Find currents and voltages in the circuit ?**

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Voltage Division 5 Assignments

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**Series Resistors and Voltage Division**

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**Equivalent of Series Resistors**

The equivalent resistance of any number of resistors connected in series is the sum of the individual resistances.

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Voltage Division

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Current Division 5 Assignments

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Parallel Resistors The equivalent resistance of two parallel resistors is equal to the product of their resistances divided by their sum.

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**Equivalent Conductances**

The equivalent conductance of resistors connected in parallel is the sum of their individual conductances.

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Current Division

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**Kirchhoff’s Current Law Kirchhoff’s Voltage Law**

Outline 1 Objectives 2 Kirchhoff’s Current Law 3 Kirchhoff’s Voltage Law 4 Voltage & Current Division 5 Assignments

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Assignment # 1 In the circuit shown in Fig. 3.51, the resistor values are unknown, but the 2 V, source is known to be supplying a current of 7 A to the rest of the circuit. Calculate the current labeled i2.

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Assignment # 2 The voltage source in the circuit of Fig has a current of 1 A flowing out of its positive terminal into resistor R1. Calculate the current labeled i2.

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Assignment # 3 Referring to the circuit of Fig. 3.69, (a) determine the two currents i1 and i2; (b) compute the power absorbed by each element.

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Assignment # 4 Determine a value for the voltage v as labeled in the circuit of Fig. 3.70, and compute the power supplied by the two current sources.

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Assignment # 5 For the circuit presented in Fig. 3.75, determine the current labeled i by first combining the four sources into a single equivalent source.

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Assignment # 6 Obtain v1 through v3 in the circuit of Fig

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Assignment # 7 Find I and Vab in the circuit of Fig

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Assignment # 8 Determine io in the circuit of Fig

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Assignment # 9 Find Vx in the circuit of Fig

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Assignment # 10 Find Vo in the circuit of Fig and the power dissipated by the controlled source.

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