Alvarado, Patrick – Homework 6 – Due: Mar 1 2007, 11:00 pm – Inst: Opyrchal, H
1
This
printout
should
have
14
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
The due time is Central
time.
001
(part 1 of 2) 10 points
A capacitor network is shown below.
145 V
9
μ
F
9
μ
F
9
μ
F
9
μ
F
4
μ
F
9
μ
F
9
μ
F
y
z
What is the equivalent capacitance between
points
y
and
z
of the entire capacitor net
work?
Correct answer: 7
.
27273
μ
F.
Explanation:
Let :
C
a
=
C
= 9
μ
F
,
C
b
=
C
= 9
μ
F
,
C
c
=
C
= 9
μ
F
,
C
d
=
C
= 9
μ
F
,
C
e
=
C
= 9
μ
F
,
C
f
=
C
= 9
μ
F
,
C
x
= 4
μ
F = 4
×
10

6
F
and
E
B
=
V
= 145 V
.
E
R
C
a
C
f
C
b
C
d
C
x
C
e
C
c
y
z
For capacitors in series,
1
C
series
=
X
1
C
i
V
series
=
X
V
i
,
and the individual charges are the same.
For parallel capacitors,
C
parallel
=
X
C
i
Q
parallel
=
X
Q
i
,
and the individual voltages are the same.
The capacitors
C
b
,
C
c
, and
C
d
are in series,
so
1
C
bcd
=
1
C
+
1
C
+
1
C
=
3
C
C
bcd
=
1
3
C .
This reduces the circuit to
E
R
C
a
C
f
C
x
C
e
C
bcd
y
z
The capacitors
C
e
and
C
bcd
are parallel, so
C
bcde
=
C
+
C
bcd
=
C
+
1
3
C
=
4
3
C .
This reduces the circuit to
E
R
C
a
C
f
C
x
C
bcde
y
z
The capacitors
C
a
,
C
bcde
and
C
f
are in series,
so
1
C
abcdef
=
1
C
+
3
4
C
+
1
C
=
11
4
C
C
abcdef
=
4
11
C .
This reduces the circuit to
E
R
C
x
C
abcdef
y
z
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Alvarado, Patrick – Homework 6 – Due: Mar 1 2007, 11:00 pm – Inst: Opyrchal, H
2
These capacitors are parallel, so
C
yz
=
C
x
+
C
abcdef
=
C
x
+
4
11
C
= 4
μ
F +
4
11
(9
μ
F)
=
7
.
27273
μ
F
.
002
(part 2 of 2) 10 points
What is the charge on the 4
μ
F capacitor
centered on the left directly between points
y
and
z
?
Correct answer: 0
.
00058 C.
Explanation:
C
≡
q
V
q
=
C
x
V
= (4
×
10

6
F) (145 V)
=
0
.
00058 C
.
keywords:
003
(part 1 of 2) 10 points
Four capacitors are connected as shown in the
figure.
23
μ
F
59
μ
F
48
μ
F
72
μ
F
92 V
a
b
c
d
Find the capacitance between points
a
and
b
.
Correct answer: 121
.
467
μ
F.
Explanation:
Let :
C
1
= 23
μ
F
,
C
2
= 48
μ
F
,
C
3
= 59
μ
F
,
C
4
= 72
μ
F
,
and
E
= 92 V
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 Morozova
 Correct Answer, Inductor

Click to edit the document details