# Giao trinh bai tap ece430 fall 09 lecture3

Intro to ECE – Homework 3 (74 points)
Problem 1: (20 points)
a. Use Node Method to solve for VA, VB, VC.
b. What will be changed if R5 is inserted (Figure 1.1 b).

Figure 1.1
Explanation (5 points):

Set of equations:
(2 points)

Result of equations
(2 points)

Explanation (5 points):

Final result:

VA =
(2 points)

VB =
VC =

Result when inserting the R5: (2 points)

Explanation ( 2 points):

Problem 2: Use KVL, KCL to find out I1, I2, I3 (12 points)

Figure 2.1
Explanation (6 points):

Set of equations:
(3 points)

Final result:

I1 =
(3 points)

I2 =
I3 =

Problem 3: Use KVL, KCL to find out i and u0 by E and α (12 points)

Figure 3.1
Explanation (6 points):

Set of equations:
(3 points)

Final result:

i=
(3 points)

u0 =

Problem 4: Use KVL, KCL to find out U0, Ix (12 points)

Figure 4.1
Explanation (6 points):

Set of equations:
(3 points)

Final result:

Ix =
(3 points)

U0 =

Problem 5: (8 points)
a. Find Eth and Rth so that Circuit A equivalent to Circuit B.
b. Find I from circuit B.

Figure 5.1
Explanation (5 points):

Result:

Rth =
(3 points)

Eth =
I=

Problem 6: (10 points)
Find the values (Ia and Ra) for the Norton equivalent for the circuit below.

Figure 6.1
Explanation (7 points):

Result:
(3 points)

Ra =
Ia =

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