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ECE 1270: Introduction to Electric Circuits

ECE 1270: Introduction to Electric Circuits. Lecture 6: Advanced Nodal Analysis Chapter 4 Techniques of Circuit Analysis: Sections 4.3,4.4. Dependent Sources and Their Applications. ____ Controlled Voltage Source. ____ Controlled Voltage Source. ____ Controlled Current Source.

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ECE 1270: Introduction to Electric Circuits

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  1. ECE 1270: Introduction to Electric Circuits Lecture 6: Advanced Nodal Analysis Chapter 4 Techniques of Circuit Analysis: Sections 4.3,4.4

  2. Dependent Sources and Their Applications ____ Controlled Voltage Source ____ Controlled Voltage Source ____ Controlled Current Source ____ Controlled Current Source Example: Voltage Amplifier Example: Transimpedance Amplifier Example: MOSFET Switch Example: Bipolar Junction Transistor

  3. Node Voltage Method: Dependent Sources Find unknown voltages by summing the currents leaving each node Example 4.3 Step1: Label Nodes Step2: Define Node Voltages

  4. Node Voltage Method: Independent Sources Step3: Write Current Leaving Each Branch Passive Sign Convention Substitute iϕ with Step4: Solve Simultaneous Equations in Standard Form Find the unknown voltage or current

  5. AP4.3a: Find power associated with each source Simultaneous Equations: Passive Sign Convention Solution p50V= p5A= p3 i1=

  6. Super Node

  7. Supernode Circuit with voltage source between two nodes Combine nodes to form a supernode

  8. Fig. 4.13: Voltage Source Between Nodes Step1: Label Nodes Step2: Define Node Voltages

  9. Fig. 4.13: Voltage Source Between Nodes Step3: Write Current Leaving Each Branch At Node 2 Passive Sign Convention At Node 3 Now add them together (or isolate i and equate them) to get Eq.1: Step4: Solve Simultaneous Equations in Standard Form What about Eq. 2?

  10. Alternative: Create a Supernode - Now we can write Eq.1 directly as … - What about Eq. 2?

  11. AP4.5 (create super node): Find v Passive Sign Convention Simultaneous Equations: Solution v=

  12. AP4.6: Find v1 Passive Sign Convention Simultaneous Equations: Solution v1=

  13. AP4.4: Find vo Passive Sign Convention Simultaneous Equations: Solution vo=

  14. Example: Transistor Circuit* *=if time permits Note: When a signal level is low, it can be passed through an amplifier to increase its level. An amplifier can be built from BJT transistor. The following schematic represents a part of the amplifier. See page 98-99 for equations Find Vo if Vcc=15 V, R1=100 kΩ, R2=50 kΩ, Rc=10 kΩ, RE=4.25 kΩ, β=300

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