HW 6.6
Given:
V
Find:
11
V
?
0
.
1
I
4000
1
R
?
0
.
2
I
?
0
.
3
2500
2
R
I
2300
3
R
?
.
1
I
?
.
2
I
F
C
C
2
2
1
?
.
3
I
?
.
1
Q
?
.
2
Q
A circuit in the diagram consists of an ideal battery (
E
= 11 V), three resistors (
R
1
= 4000
,
R
2
=
2500
, and
R
3
= 2300
), and two capacitors (
C
1
=
C
2
= 2 μF). Both capacitors are uncharged at
t
= 0
when the switch is closed.
(a) Calculate the currents in the circuit immediately after the switch is closed.
(b) Calculate the currents in the circuit a long time after the switch is closed.
(c) Calculate the final charges on the capacitors.
Solutions
a.)
To find
,
&
we can use the following formula:
0
.
1
I
0
.
2
I
0
.
3
I
We need two loop equations and one current equation
3
2
1
I
I
I
0
0
3
3
1
1
I
R
I
R
V
since
0
2
1
2
2
1
1
c
c
V
V
I
R
I
R
V
q
0
2
1
c
c
V
V

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