1
Paul Gonzales
Inst: Zhang
BME 311 Network Theory
Homework #1
Date: January 31, 2011
1.
Basic Problems (30 points)
Solve the following three problems from the textbook 1.5, 1.8 and 1.22
1.5) Determine the total charge transferred over time interval of 0=<t=<10 s when i(t) =
1/2t A
Q =
i
⋅
dt
=
0
10
∫
1
2
t
⋅
dt
=
0
10
∫
t
2
4
0
10
=
25
C
1.8) The current flowing past a pt. in a device is shown in Fig. 1.25. Calculate the total
charge through the point.
Q = (10 x 1)/2 + (10 x 1) = 15 µC
1.22) A lightning bolt strikes an airplane with 30 kA for 2 ms. How many coulombs of
charge are deposited on the plane?
Q = i*t = 30 x 1000 x (2 x .001) = 60 C
2.
Comprehensive Problem (20 points)
Solve the following problem from the textbook: 1.35
1.35) The graph represents the power drawn by an industrial plant between 8 – 8:30
AM. Calculate the total energy in MWh consumed by the plant.
[ (5x5) + (4x5) + (3x5) + (8x5) + (4x10) ]/ 60 = 2.333 MWhr
4. Pspice and Matlab preparations
(I) Pspice set up and basic components:
Download PSpice from the following website and set it up on your computer.
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 Spring '08
 Zhang
 Limit of a function, Limit of a sequence, Limit superior and limit inferior, Fibonacci number, Golden ratio, John X.J. Zhang

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