HW 6.8
Given:
V
Find:
10
V
?
/
1
dt
dQ
6
1
R
?
/
2
dt
dQ
?
1
6
2
R
I
F
C
4
1
?
2
Q
F
C
8
2
?
1
U
?
.
1
Q
?
.
2
Q
Initially, all capacitors are uncharged. At
t
= 0, the switch is closed.
(a) At what rate is charge being stored in
C
1
and
C
2
immediately afterward?
(b) Calculate the following quantities after a long time.
(c) Sometime later, the switch is opened. After another long time, how much charge remains
stored in each of the capacitors ?
Solutions
a.)
To find
&
we can use the following formula:
dt
dQ
/
1
dt
dQ
/
2
you will need two voltage equations and one current equation
since q=0
3
1
2
2
2
2
1
1
2
2
0
0
I
I
I
V
I
R
V
I
R
I
R
V
c
0
2
c
V
2
2
R
V
I
0
1
1
2
2
I
R
R
V
R
V
0
1
1
I
R
V
V
0
1
I
0
2
1
2
3
R
V
I
I
I
dt
dQ
I
since current is charge/time (C/s)
2

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