Practice Problems

Practice Problems#

  1. How many nodes and how many loops are in each of the circuits below?

Nodes:____________ Nodes:____________

Loops:_____________ Loops:_____________

Nodes:____________ Nodes:____________

Loops:_____________ Loops:_____________

Find \(V_{R}\) and \(V_{P}\)

  1. If \(i_{2} = - 2\ A\), \(i_{3} = - 5\ A\), and \(i_{4} = 4\ A\), then find \(i_{1}\) and \(i_{5}\)

  1. Answer the following questions about the circuit below

a. How Many nodes and loops are in this circuit?

b. Write out the KVL and KCL equations for the circuit.

c. Solve for the power consumed by each component in this circuit (Remember what we learned in the last lesson!)

  1. Use KVL and KCL to solve for the unknown voltages and currents in the circuits below

#

  1. A satellite control module is to be hooked to a data processing element, modeled as a single 12.5 kΩ resistor (R2). The entire system will be powered by a 5 volt solar cell (Vs). Different options for the control module are modeled as R1 = 5 kΩ , 10 kΩ , or 15 kΩ resistors. For each of these options, calculate the values in the table below.

V:\Courses\ECE315\2009 Fall\Wilson\Textbook\Drawings\02Homework with 2 resistors inseries.jpg

Option

Vs

R1

V1

V2

I1

I2

P1

P2

Ps

A

5 V

5 kΩ

B

5 V

10 kΩ

C

5 V

15 kΩ

  1. If the circuit in the previous problem had the following two requirements, which of the three options are viable?

Requirements:

  • Total current cannot exceed 250 µA

  • Voltage across the control module (V1) must be at least 2 V.

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