1
Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
𝑄
𝑡
= 150C/15 x 60s
= 1/6A
P = VI
1Whr/15min = V x 1/6
V = 24V
𝐼 =
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
𝑑𝑞
𝑑𝑡
= 10e-tmA
Now, P = VI
Thus V = 0.2e--tV is the voltage across the element.
E = ∫ 𝑝(𝑡)𝑑𝑡
𝐼 =
0.2
= ∫0 2𝑒-tdt
= 0.362 mJ
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
The charge passing through the circuit is q
102
= ∫99 𝑖(𝑡)𝑑𝑡
102
=∫99 (−3 + 𝑡)𝑑𝑡
= (−3 × 102 +
=292.5C
Chapter 1: Basic Concepts
1022
2
) − (− 3 × 99 +
992
2
)
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
I=
𝑑𝑞
𝑑𝑡
I = 20e-2tmA
Now E = ∫ 𝑉𝐼𝑑𝑡
20
= ∫0 2.4e-4tdt
= 0.011 J
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
i(t)
=
𝑑𝑞
𝑑𝑡
= -3t2 + 12t - 10
= -3 x 52 + 12 x 5 - 10
= -25A
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
a. i(0.25) = e-4x0.25 = 0.368A
0.25
b. Average value of current
= ∫−0.25 𝑖(𝑡)𝑑𝑡
= 0.632A
c. Charge passed
= Average current x Time
= 0.318A
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
The charge through the element can be found by finding the area under the curve from 5 to 15
seconds.
Thus charge flown
= 5 x (10-5) + ½ x 5 x (15-10)
= 37.5mC
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
P=VI
= 57.5cos(-2π/3)
= -28.75W
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Power supplied by 10V battery = 10V x -8A = -80W
Power supplied by 6A current source = 6A x 5V = 30V
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
a. V(1ms) = 9.69V
b. V(8ms) = -4.16V
c. Work done = q x V = 4C x V(4ms)
= -21.6J
Chapter 1: Basic Concepts
29
Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Power delivered
Chapter 1: Basic Concepts
=VxI
= 5 x (0.8-2)2V x -5A
= -34.68W
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
Chapter 1: Basic Concepts
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
(See Next page)
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Irwin, Engineering Circuit Analysis, 11e ISV
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Irwin, Engineering Circuit Analysis, 11e ISV
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Irwin, Engineering Circuit Analysis, 11e ISV
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
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Irwin, Engineering Circuit Analysis, 11e ISV
SOLUTION:
Chapter 1: Basic Concepts