Quiz 6 Solutions - Basic Circuits Theory | ENEE 204, Quizzes of Electrical and Electronics Engineering

Material Type: Quiz; Class: BASIC CIRCUIT THEO; Subject: Electrical & Computer Engineering; University: University of Maryland; Term: Unknown 1989;

Typology: Quizzes

2019/2020

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ENEE204-QUIZ 6 –SOLUTION!
Name: ____________________________ Oct.20th
Section 0106
1) Find io(t) by first obtaining a Thevenin Equivalent Circuit at the terminals
A-B.
The first thing to realize here is that we need to remove the 2 resistor to
obtain the two open terminals and then find the Thevenin Equivalent Circuit
between them.
We can now find the Equivalent
Circuit between terminals A and B.
Thevenin Equivalent Impedance (Zin):
To find Zin we must set all sources to zero (in this case we set 48V to zero
which translates to replacing the source by a short) and then find the
impedance between terminals A and B.
B A
1
3
5
2
9
6
1
48 V io(t)
B A
1
3
5
9
6
1
48 V
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ENEE204-QUIZ 6 –SOLUTION!

Name: ____________________________ Oct.

th

Section 0106

1) Find io(t) by first obtaining a Thevenin Equivalent Circuit at the terminals

A-B.

The first thing to realize here is that we need to remove the 2Ω resistor to

obtain the two open terminals and then find the Thevenin Equivalent Circuit

between them.

We can now find the Equivalent

Circuit between terminals A and B.

Thevenin Equivalent Impedance (Zin):

To find Zin we must set all sources to zero (in this case we set 48V to zero

which translates to replacing the source by a short) and then find the

impedance between terminals A and B.

B A

48 V

io(t)

B A

48 V

At first sight we can see that we can simplify

the circuit by combining 3Ω and 9Ω in series

and 1Ω and 1Ω in series too.

Now we need to think a bit to

decide which components are in series or parallel with which others. We can

redraw the circuit keeping in mind that all lines are just wires and can be

stretched, enlarged, shortened, etc. as long as we keep the terminals of each

component connected to the same things that they were connected to before

we redrew it.

B A

Zin

B A

Zin

B A

2 Ω

5 Ω 12 Ω

6 Ω

Z (^) in

B A

Zin

B A

Z

in