Sample Midterm 1A | Industrial Electronics | ECE 3254, Exams of Electrical and Electronics Engineering

Sample test 1 Form A Material Type: Exam; Class: Industrial Electronics; Subject: Electrical & Computer Engineer; University: Virginia Polytechnic Institute And State University; Term: Fall 2008;

Typology: Exams

Pre 2010

Uploaded on 09/15/2008

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ECE 3254: Industrial Electronics
Sample Midterm 1: Homework 3,
Form: A
Name:
Student Number:
TA:
Date:
Optional Problems. The following text problems do not need to be turned in, but they are
typical of the kind of questions likely to appear on the exam. You may find it useful to review
these problems as you study.
6.61, 6.43, 6.89, 6.90, and 6.93
True/False. Mark the following statements as either true (T) or false (F). If the answer is
false, either provide a counterexample, correct the statement to make it true, or provide a concise
explanation to explain why the statement is incorrect. Answer these questions on this paper.
For two phasors V1and V2, the magnitude of V1+V2is equal to the sum of the magni-
tudes of V1and V2.
Charge is the time rate change of current.
KCL, KVL, and Ohm’s law cannot be used to correctly solve AC circuits.
At any node in a circuit, the sum of the currents entering the node is precisely equal to
the sum of the currents leaving the node.
A series RC circuit will behave the same way for an input sinusiod of any frequency.
If a device has an applied voltage of 10 V and a current of 2 A leaving the positive termi-
nal, the device is consuming 60 W.
The graph of a circuit’s frequency response (a Bode plot) cannot be used to calculate its
response to sinusoidal inputs.
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ECE 3254: Industrial Electronics Sample Midterm 1: Homework 3, Form: A

Name: Student Number: TA: Date: Optional Problems. The following text problems do not need to be turned in, but they are typical of the kind of questions likely to appear on the exam. You may find it useful to review these problems as you study. 6.61, 6.43, 6.89, 6.90, and 6. True/False. Mark the following statements as either true (T) or false (F). If the answer is

false, either provide a counterexample, correct the statement to make it true, or provide a concise explanation to explain why the statement is incorrect. Answer these questions on this paper.

For two phasors V 1 and V 2 , the magnitude of V 1 + V 2 is equal to the sum of the magni- tudes of V 1 and V 2.

Charge is the time rate change of current.

KCL, KVL, and Ohm’s law cannot be used to correctly solve AC circuits.

At any node in a circuit, the sum of the currents entering the node is precisely equal to the sum of the currents leaving the node.

A series RC circuit will behave the same way for an input sinusiod of any frequency.

If a device has an applied voltage of 10 V and a current of 2 A leaving the positive termi- nal, the device is consuming 60 W.

The graph of a circuit’s frequency response (a Bode plot) cannot be used to calculate its response to sinusoidal inputs.

Short Answer. Answer the following questions on your own paper. Start each problem on a new page, and include your name and the page number at the top of every page.

  1. Consider the following circuit. The switch has been closed for a long time before t=0, when the switch opens.

For t ≥ 0, write the differential equation in terms of inductor current iL(t) that govents this circuit’s behavior. Recall that a generic 2nd^ order differential equation is of the form

f (t) =

∂^2 x(t) ∂t^2

∂x(t) ∂t

  • ω 02 x(t)

For R = 25Ω, C = 1μF, and L = 2mH, find the damping coefficient, undamped resonant fre- quency, and damping ratio. Is this system overdamped, underdamped, or critically damped. Finally, find the steady-state values of vL(t), iL(t), vC (t), and iC (t).

  1. For any arbitrary circuit, show that the maximum power transferred to the load occurs when the circuit’s Th´evenin resistance is equal to the load resistance.