108
CHAPTER 18
18.10
First, consider the parallel case. The resistance of resistor
B
is
()
6.0 V
3.0
2.0 A
B
B
B
V
R
I
∆
===
()() ()
6.0
B
battery
A
VV
V
∆=
∆
−
Ω
In the series combination, the potential difference across
B
is given by
The current through the series combination is then
V-4.0 V
2.0 V
=
2.0 V
2
A
3.0
3
B
s
B
V
I
R
∆
Ω
and the resistance of resistor
A
is
( )
4.0 V
6.0
23 A
A
A
s
V
R
I
∆
=
==
Ω
18.11
The equivalent resistance is
e
qp
RRR
=
+
, where
p
R
is the total resistance of the three
parallel branches;
( )( )

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