NETWORK THEOREMS

EE001A Engineering Circuit Analysis I Department of Electrical Engineering University of California – Riverside

Instructor: Roman Chomko

Homework 5 EE 001A

Spring 2014

Homework* 5

Network Theorems and Operational Amplifiers

Due Date: Thursday, May 22, 2013

* Collaboration is allowed.

ee001a hw 5

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Problem 1 (Substitution of Sources, Alexander 4.20)

Figure P1

Using the theorem on Substitution of Power Sources (or equivalently “Source Transformation” per Alexander), reduce the circuit to a single voltage source in series with a single resistor.

Hint: first transform voltage sources into current sources, than combine current sources and resistors, and finally convert the result into a voltage source.

Problem 2 (Substitution of Sources, Alexander 4.31)

Figure P2

Using the theorem on Substitution of Power Sources, determine vx.

Hint: treat dependent sources the same way as independent sources.

Problem 3 (Principle of Superposition)

Figure P3

Using the Principle of Superposition determine voltage vR2.

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Problem 4 (Thevenin’s Theorem, Alexander 4.36)

Figure P4

Using the Thevenin’s Theorem, solve for the current i in Figure P4.

Hint: Find the Thevenin’s equivalent seen by R2 resistor.

Problem 5 (Thevenin’s Theorem)

Figure P5, same as Figure P3

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Problem 6 (Thevenin’s Theorem, Alexander 4.52)

Figure P6

For the transistor model in Figure P6, obtain the Thevenin’s equivalent at terminals a-b.

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Problem 7 (Nodal Analysis)

Figure P7, same as Figure P3

By using the Node Voltage Method (or NVM, or Nodal Analysis), solve the circuit in Figure P7, and thus determine voltage vR2.

Problem 8 (Ideal Op-Amps)

Figure P8

Compute the power consumed by the electric motor of internal resistance RL. Assume the ideal model of op-amps.

Problem 9 (Ideal Op-Amps)

Figure P9

1) Show that 1 20 1

S

R R v v

R

+ = ;

2) What will happen if R1 → ∞ R2 → 0? // END OF HW 5